What is the Least Common Multiple of 66825 and 66840?

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 66825 and 66840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66825 and 66840, than apply into the LCM equation.

GCF(66825,66840) = 15
LCM(66825,66840) = ( 66825 × 66840) / 15
LCM(66825,66840) = 4466583000 / 15
LCM(66825,66840) = 297772200

Least Common Multiple (LCM) of 66825 and 66840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66825 and 66840. First we will calculate the prime factors of 66825 and 66840.

Prime Factorization of 66825

Prime Factorization of 66840

Now multiplying the highest exponent prime factors to calculate the LCM of 66825 and 66840.

LCM(66825,66840) = 3⁵ × 5² × 11¹ × 2³ × 557¹
LCM(66825,66840) = 297772200