LCM for 16 and 121
What's the Least Common Multiple (LCM) of 16 and 121?
Answer
(One thousand nine hundred thirty-six)
Finding LCM for 16 and 121 using GCF of these numbers
The first method to find LCM for numbers 16 and 121 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 16 and 121 is 1, so
LCM = (16 × 121) ÷ 1
LCM = 1,936 ÷ 1
LCM = 1,936
Finding LCM for 16 and 121 by Listing Multiples
The second method to find LCM for numbers 16 and 121 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448, 464, 480, 496, 512, 528, 544, 560, 576, 592, 608, 624, 640, 656, 672, 688, 704, 720, 736, 752, 768, 784, 800, 816, 832, 848, 864, 880, 896, 912, 928, 944, 960, 976, 992, 1,008, 1,024, 1,040, 1,056, 1,072, 1,088, 1,104, 1,120, 1,136, 1,152, 1,168, 1,184, 1,200, 1,216, 1,232, 1,248, 1,264, 1,280, 1,296, 1,312, 1,328, 1,344, 1,360, 1,376, 1,392, 1,408, 1,424, 1,440, 1,456, 1,472, 1,488, 1,504, 1,520, 1,536, 1,552, 1,568, 1,584, 1,600, 1,616, 1,632, 1,648, 1,664, 1,680, 1,696, 1,712, 1,728, 1,744, 1,760, 1,776, 1,792, 1,808, 1,824, 1,840, 1,856, 1,872, 1,888, 1,904, 1,920, 1,936, 1,952, 1,968
Multiples of 121: 121, 242, 363, 484, 605, 726, 847, 968, 1,089, 1,210, 1,331, 1,452, 1,573, 1,694, 1,815, 1,936, 2,057, 2,178
So the LCM for 16 and 121 is 1,936
Finding LCM for 16 and 121 by Prime Factorization
Another method to find LCM for numbers 16 and 121 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)
All Prime Factors of 121: 11, 11 (exponent form: 112)
24 × 112 = 1,936
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 16 and 121?
How to find the LCM of 16 and 121 using prime factorization?
What is the difference between LCM and GCF?
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