What is the Least Common Multiple of 66656 and 66675?

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 66656 and 66675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66656 and 66675, than apply into the LCM equation.

GCF(66656,66675) = 1
LCM(66656,66675) = ( 66656 × 66675) / 1
LCM(66656,66675) = 4444288800 / 1
LCM(66656,66675) = 4444288800

Least Common Multiple (LCM) of 66656 and 66675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66656 and 66675. First we will calculate the prime factors of 66656 and 66675.

Prime Factorization of 66656

Prime Factorization of 66675

Now multiplying the highest exponent prime factors to calculate the LCM of 66656 and 66675.

LCM(66656,66675) = 2⁵ × 2083¹ × 3¹ × 5² × 7¹ × 127¹
LCM(66656,66675) = 4444288800