What is the Least Common Multiple of 66732 and 66746?

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 66732 and 66746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66732 and 66746, than apply into the LCM equation.

GCF(66732,66746) = 2
LCM(66732,66746) = ( 66732 × 66746) / 2
LCM(66732,66746) = 4454094072 / 2
LCM(66732,66746) = 2227047036

Least Common Multiple (LCM) of 66732 and 66746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66732 and 66746. First we will calculate the prime factors of 66732 and 66746.

Prime Factorization of 66732

Prime Factorization of 66746

Now multiplying the highest exponent prime factors to calculate the LCM of 66732 and 66746.

LCM(66732,66746) = 2² × 3¹ × 67¹ × 83¹ × 23¹ × 1451¹
LCM(66732,66746) = 2227047036