What is the Least Common Multiple of 42032 and 42038?

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 42032 and 42038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42032 and 42038, than apply into the LCM equation.

GCF(42032,42038) = 2
LCM(42032,42038) = ( 42032 × 42038) / 2
LCM(42032,42038) = 1766941216 / 2
LCM(42032,42038) = 883470608

Least Common Multiple (LCM) of 42032 and 42038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42032 and 42038. First we will calculate the prime factors of 42032 and 42038.

Prime Factorization of 42032

Prime Factorization of 42038

Now multiplying the highest exponent prime factors to calculate the LCM of 42032 and 42038.

LCM(42032,42038) = 2⁴ × 37¹ × 71¹ × 21019¹
LCM(42032,42038) = 883470608