What is the Least Common Multiple of 66756 and 66762?

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 66756 and 66762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66756 and 66762, than apply into the LCM equation.

GCF(66756,66762) = 6
LCM(66756,66762) = ( 66756 × 66762) / 6
LCM(66756,66762) = 4456764072 / 6
LCM(66756,66762) = 742794012

Least Common Multiple (LCM) of 66756 and 66762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66756 and 66762. First we will calculate the prime factors of 66756 and 66762.

Prime Factorization of 66756

Prime Factorization of 66762

Now multiplying the highest exponent prime factors to calculate the LCM of 66756 and 66762.

LCM(66756,66762) = 2² × 3² × 5563¹ × 3709¹
LCM(66756,66762) = 742794012