What is the Least Common Multiple of 49128 and 49135?

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 49128 and 49135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49128 and 49135, than apply into the LCM equation.

GCF(49128,49135) = 1
LCM(49128,49135) = ( 49128 × 49135) / 1
LCM(49128,49135) = 2413904280 / 1
LCM(49128,49135) = 2413904280

Least Common Multiple (LCM) of 49128 and 49135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49128 and 49135. First we will calculate the prime factors of 49128 and 49135.

Prime Factorization of 49128

Prime Factorization of 49135

Now multiplying the highest exponent prime factors to calculate the LCM of 49128 and 49135.

LCM(49128,49135) = 2³ × 3¹ × 23¹ × 89¹ × 5¹ × 31¹ × 317¹
LCM(49128,49135) = 2413904280