What is the Least Common Multiple of 32564 and 32577?

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 32564 and 32577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32564 and 32577, than apply into the LCM equation.

GCF(32564,32577) = 1
LCM(32564,32577) = ( 32564 × 32577) / 1
LCM(32564,32577) = 1060837428 / 1
LCM(32564,32577) = 1060837428

Least Common Multiple (LCM) of 32564 and 32577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32564 and 32577. First we will calculate the prime factors of 32564 and 32577.

Prime Factorization of 32564

Prime Factorization of 32577

Now multiplying the highest exponent prime factors to calculate the LCM of 32564 and 32577.

LCM(32564,32577) = 2² × 7¹ × 1163¹ × 3¹ × 10859¹
LCM(32564,32577) = 1060837428