What is the Least Common Multiple of 49100 and 49120?

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 49100 and 49120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49100 and 49120, than apply into the LCM equation.

GCF(49100,49120) = 20
LCM(49100,49120) = ( 49100 × 49120) / 20
LCM(49100,49120) = 2411792000 / 20
LCM(49100,49120) = 120589600

Least Common Multiple (LCM) of 49100 and 49120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49100 and 49120. First we will calculate the prime factors of 49100 and 49120.

Prime Factorization of 49100

Prime Factorization of 49120

Now multiplying the highest exponent prime factors to calculate the LCM of 49100 and 49120.

LCM(49100,49120) = 2⁵ × 5² × 491¹ × 307¹
LCM(49100,49120) = 120589600