What is the Least Common Multiple of 66588 and 66600?

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 66588 and 66600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66588 and 66600, than apply into the LCM equation.

GCF(66588,66600) = 12
LCM(66588,66600) = ( 66588 × 66600) / 12
LCM(66588,66600) = 4434760800 / 12
LCM(66588,66600) = 369563400

Least Common Multiple (LCM) of 66588 and 66600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66588 and 66600. First we will calculate the prime factors of 66588 and 66600.

Prime Factorization of 66588

Prime Factorization of 66600

Now multiplying the highest exponent prime factors to calculate the LCM of 66588 and 66600.

LCM(66588,66600) = 2³ × 3² × 31¹ × 179¹ × 5² × 37¹
LCM(66588,66600) = 369563400