What is the Least Common Multiple of 49932 and 49952?

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 49932 and 49952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49932 and 49952, than apply into the LCM equation.

GCF(49932,49952) = 4
LCM(49932,49952) = ( 49932 × 49952) / 4
LCM(49932,49952) = 2494203264 / 4
LCM(49932,49952) = 623550816

Least Common Multiple (LCM) of 49932 and 49952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49932 and 49952. First we will calculate the prime factors of 49932 and 49952.

Prime Factorization of 49932

Prime Factorization of 49952

Now multiplying the highest exponent prime factors to calculate the LCM of 49932 and 49952.

LCM(49932,49952) = 2⁵ × 3² × 19¹ × 73¹ × 7¹ × 223¹
LCM(49932,49952) = 623550816