What is the Least Common Multiple of 49752 and 49772?

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 49752 and 49772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49752 and 49772, than apply into the LCM equation.

GCF(49752,49772) = 4
LCM(49752,49772) = ( 49752 × 49772) / 4
LCM(49752,49772) = 2476256544 / 4
LCM(49752,49772) = 619064136

Least Common Multiple (LCM) of 49752 and 49772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49752 and 49772. First we will calculate the prime factors of 49752 and 49772.

Prime Factorization of 49752

Prime Factorization of 49772

Now multiplying the highest exponent prime factors to calculate the LCM of 49752 and 49772.

LCM(49752,49772) = 2³ × 3² × 691¹ × 23¹ × 541¹
LCM(49752,49772) = 619064136