What is the Least Common Multiple of 40732 and 40747?

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 40732 and 40747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40732 and 40747, than apply into the LCM equation.

GCF(40732,40747) = 1
LCM(40732,40747) = ( 40732 × 40747) / 1
LCM(40732,40747) = 1659706804 / 1
LCM(40732,40747) = 1659706804

Least Common Multiple (LCM) of 40732 and 40747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40732 and 40747. First we will calculate the prime factors of 40732 and 40747.

Prime Factorization of 40732

Prime Factorization of 40747

Now multiplying the highest exponent prime factors to calculate the LCM of 40732 and 40747.

LCM(40732,40747) = 2² × 17¹ × 599¹ × 7¹ × 5821¹
LCM(40732,40747) = 1659706804