What is the Least Common Multiple of 85344 and 85364?

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 85344 and 85364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85344 and 85364, than apply into the LCM equation.

GCF(85344,85364) = 4
LCM(85344,85364) = ( 85344 × 85364) / 4
LCM(85344,85364) = 7285305216 / 4
LCM(85344,85364) = 1821326304

Least Common Multiple (LCM) of 85344 and 85364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85344 and 85364. First we will calculate the prime factors of 85344 and 85364.

Prime Factorization of 85344

Prime Factorization of 85364

Now multiplying the highest exponent prime factors to calculate the LCM of 85344 and 85364.

LCM(85344,85364) = 2⁵ × 3¹ × 7¹ × 127¹ × 21341¹
LCM(85344,85364) = 1821326304