What is the Least Common Multiple of 85752 and 85772?

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 85752 and 85772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85752 and 85772, than apply into the LCM equation.

GCF(85752,85772) = 4
LCM(85752,85772) = ( 85752 × 85772) / 4
LCM(85752,85772) = 7355120544 / 4
LCM(85752,85772) = 1838780136

Least Common Multiple (LCM) of 85752 and 85772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85752 and 85772. First we will calculate the prime factors of 85752 and 85772.

Prime Factorization of 85752

Prime Factorization of 85772

Now multiplying the highest exponent prime factors to calculate the LCM of 85752 and 85772.

LCM(85752,85772) = 2³ × 3³ × 397¹ × 41¹ × 523¹
LCM(85752,85772) = 1838780136