What is the Least Common Multiple of 42372 and 42376?

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 42372 and 42376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42372 and 42376, than apply into the LCM equation.

GCF(42372,42376) = 4
LCM(42372,42376) = ( 42372 × 42376) / 4
LCM(42372,42376) = 1795555872 / 4
LCM(42372,42376) = 448888968

Least Common Multiple (LCM) of 42372 and 42376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42372 and 42376. First we will calculate the prime factors of 42372 and 42376.

Prime Factorization of 42372

Prime Factorization of 42376

Now multiplying the highest exponent prime factors to calculate the LCM of 42372 and 42376.

LCM(42372,42376) = 2³ × 3² × 11¹ × 107¹ × 5297¹
LCM(42372,42376) = 448888968