What is the Least Common Multiple of 85442 and 85456?

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 85442 and 85456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85442 and 85456, than apply into the LCM equation.

GCF(85442,85456) = 14
LCM(85442,85456) = ( 85442 × 85456) / 14
LCM(85442,85456) = 7301531552 / 14
LCM(85442,85456) = 521537968

Least Common Multiple (LCM) of 85442 and 85456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85442 and 85456. First we will calculate the prime factors of 85442 and 85456.

Prime Factorization of 85442

Prime Factorization of 85456

Now multiplying the highest exponent prime factors to calculate the LCM of 85442 and 85456.

LCM(85442,85456) = 2⁴ × 7² × 17¹ × 359¹ × 109¹
LCM(85442,85456) = 521537968