What is the Least Common Multiple of 42314 and 42332?

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 42314 and 42332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42314 and 42332, than apply into the LCM equation.

GCF(42314,42332) = 2
LCM(42314,42332) = ( 42314 × 42332) / 2
LCM(42314,42332) = 1791236248 / 2
LCM(42314,42332) = 895618124

Least Common Multiple (LCM) of 42314 and 42332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42314 and 42332. First we will calculate the prime factors of 42314 and 42332.

Prime Factorization of 42314

Prime Factorization of 42332

Now multiplying the highest exponent prime factors to calculate the LCM of 42314 and 42332.

LCM(42314,42332) = 2² × 21157¹ × 19¹ × 557¹
LCM(42314,42332) = 895618124