LCM for 9 and 100
What's the Least Common Multiple (LCM) of 9 and 100?
(Nine hundred)
Finding LCM for 9 and 100 using GCF's of these numbers
The first method to find LCM for numbers 9 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 100 is 1, so
LCM = (9 × 100) ÷ 1
LCM = 900 ÷ 1
LCM = 900
Finding LCM for 9 and 100 by Listing Multiples
The second method to find LCM for numbers 9 and 100 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387, 396, 405, 414, 423, 432, 441, 450, 459, 468, 477, 486, 495, 504, 513, 522, 531, 540, 549, 558, 567, 576, 585, 594, 603, 612, 621, 630, 639, 648, 657, 666, 675, 684, 693, 702, 711, 720, 729, 738, 747, 756, 765, 774, 783, 792, 801, 810, 819, 828, 837, 846, 855, 864, 873, 882, 891, 900, 909, 918
Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100
So the LCM for 9 and 100 is 900
Finding LCM for 9 and 100 by Prime Factorization
Another method to find LCM for numbers 9 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 9: 3, 3 (exponent form: 32)
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
32 × 22 × 52 = 900
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/9--100">What is the LCM of 9 and 100? - Calculatio</a>
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