What is the Least Common Multiple of 49109 and 49128?

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 49109 and 49128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49109 and 49128, than apply into the LCM equation.

GCF(49109,49128) = 1
LCM(49109,49128) = ( 49109 × 49128) / 1
LCM(49109,49128) = 2412626952 / 1
LCM(49109,49128) = 2412626952

Least Common Multiple (LCM) of 49109 and 49128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49109 and 49128. First we will calculate the prime factors of 49109 and 49128.

Prime Factorization of 49109

Prime Factorization of 49128

Now multiplying the highest exponent prime factors to calculate the LCM of 49109 and 49128.

LCM(49109,49128) = 49109¹ × 2³ × 3¹ × 23¹ × 89¹
LCM(49109,49128) = 2412626952