LCM for 42 and 86
What's the Least Common Multiple (LCM) of 42 and 86?
Answer
(One thousand eight hundred six)
Finding LCM for 42 and 86 using GCF of these numbers
The first method to find LCM for numbers 42 and 86 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 42 and 86 is 2, so
LCM = (42 × 86) ÷ 2
LCM = 3,612 ÷ 2
LCM = 1,806
Finding LCM for 42 and 86 by Listing Multiples
The second method to find LCM for numbers 42 and 86 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966, 1,008, 1,050, 1,092, 1,134, 1,176, 1,218, 1,260, 1,302, 1,344, 1,386, 1,428, 1,470, 1,512, 1,554, 1,596, 1,638, 1,680, 1,722, 1,764, 1,806, 1,848, 1,890
Multiples of 86: 86, 172, 258, 344, 430, 516, 602, 688, 774, 860, 946, 1,032, 1,118, 1,204, 1,290, 1,376, 1,462, 1,548, 1,634, 1,720, 1,806, 1,892, 1,978
So the LCM for 42 and 86 is 1,806
Finding LCM for 42 and 86 by Prime Factorization
Another method to find LCM for numbers 42 and 86 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)
All Prime Factors of 86: 2, 43 (exponent form: 21, 431)
21 × 31 × 71 × 431 = 1,806
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers

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