LCM for 24 and 35
What's the Least Common Multiple (LCM) of 24 and 35?
Answer
(Eight hundred forty)
Finding LCM for 24 and 35 using GCF of these numbers
The first method to find LCM for numbers 24 and 35 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 24 and 35 is 1, so
LCM = (24 × 35) ÷ 1
LCM = 840 ÷ 1
LCM = 840
Finding LCM for 24 and 35 by Listing Multiples
The second method to find LCM for numbers 24 and 35 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888
Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770, 805, 840, 875, 910
So the LCM for 24 and 35 is 840
Finding LCM for 24 and 35 by Prime Factorization
Another method to find LCM for numbers 24 and 35 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)
All Prime Factors of 35: 5, 7 (exponent form: 51, 71)
23 × 31 × 51 × 71 = 840
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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LCM Table
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