What is the Least Common Multiple of 64752 and 64763?

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 64752 and 64763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64752 and 64763, than apply into the LCM equation.

GCF(64752,64763) = 1
LCM(64752,64763) = ( 64752 × 64763) / 1
LCM(64752,64763) = 4193533776 / 1
LCM(64752,64763) = 4193533776

Least Common Multiple (LCM) of 64752 and 64763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64752 and 64763. First we will calculate the prime factors of 64752 and 64763.

Prime Factorization of 64752

Prime Factorization of 64763

Now multiplying the highest exponent prime factors to calculate the LCM of 64752 and 64763.

LCM(64752,64763) = 2⁴ × 3¹ × 19¹ × 71¹ × 64763¹
LCM(64752,64763) = 4193533776