What is the Least Common Multiple of 49575 and 49581?

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 49575 and 49581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49575 and 49581, than apply into the LCM equation.

GCF(49575,49581) = 3
LCM(49575,49581) = ( 49575 × 49581) / 3
LCM(49575,49581) = 2457978075 / 3
LCM(49575,49581) = 819326025

Least Common Multiple (LCM) of 49575 and 49581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49575 and 49581. First we will calculate the prime factors of 49575 and 49581.

Prime Factorization of 49575

Prime Factorization of 49581

Now multiplying the highest exponent prime factors to calculate the LCM of 49575 and 49581.

LCM(49575,49581) = 3² × 5² × 661¹ × 7¹ × 787¹
LCM(49575,49581) = 819326025