What is the Least Common Multiple of 49952 and 49964?

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 49952 and 49964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49952 and 49964, than apply into the LCM equation.

GCF(49952,49964) = 4
LCM(49952,49964) = ( 49952 × 49964) / 4
LCM(49952,49964) = 2495801728 / 4
LCM(49952,49964) = 623950432

Least Common Multiple (LCM) of 49952 and 49964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49952 and 49964. First we will calculate the prime factors of 49952 and 49964.

Prime Factorization of 49952

Prime Factorization of 49964

Now multiplying the highest exponent prime factors to calculate the LCM of 49952 and 49964.

LCM(49952,49964) = 2⁵ × 7¹ × 223¹ × 12491¹
LCM(49952,49964) = 623950432