What is the Least Common Multiple of 42514 and 42532?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 42514 and 42532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42514 and 42532, than apply into the LCM equation.

GCF(42514,42532) = 2
LCM(42514,42532) = ( 42514 × 42532) / 2
LCM(42514,42532) = 1808205448 / 2
LCM(42514,42532) = 904102724

Least Common Multiple (LCM) of 42514 and 42532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42514 and 42532. First we will calculate the prime factors of 42514 and 42532.

Prime Factorization of 42514

Prime Factorization of 42532

Now multiplying the highest exponent prime factors to calculate the LCM of 42514 and 42532.

LCM(42514,42532) = 2² × 29¹ × 733¹ × 7³ × 31¹
LCM(42514,42532) = 904102724