LCM for 12 and 85
What's the Least Common Multiple (LCM) of 12 and 85?
(One thousand, twenty)
Finding LCM for 12 and 85 using GCF's of these numbers
The first method to find LCM for numbers 12 and 85 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 12 and 85 is 1, so
LCM = (12 × 85) ÷ 1
LCM = 1020 ÷ 1
LCM = 1020
Finding LCM for 12 and 85 by Listing Multiples
The second method to find LCM for numbers 12 and 85 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684, 696, 708, 720, 732, 744, 756, 768, 780, 792, 804, 816, 828, 840, 852, 864, 876, 888, 900, 912, 924, 936, 948, 960, 972, 984, 996, 1008, 1020, 1032, 1044
Multiples of 85: 85, 170, 255, 340, 425, 510, 595, 680, 765, 850, 935, 1020, 1105, 1190
So the LCM for 12 and 85 is 1020
Finding LCM for 12 and 85 by Prime Factorization
Another method to find LCM for numbers 12 and 85 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)
All Prime Factors of 85: 5, 17 (exponent form: 51, 171)
22 × 31 × 51 × 171 = 1020
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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