What is the Least Common Multiple of 75550 and 75564?

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 75550 and 75564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75550 and 75564, than apply into the LCM equation.

GCF(75550,75564) = 2
LCM(75550,75564) = ( 75550 × 75564) / 2
LCM(75550,75564) = 5708860200 / 2
LCM(75550,75564) = 2854430100

Least Common Multiple (LCM) of 75550 and 75564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75550 and 75564. First we will calculate the prime factors of 75550 and 75564.

Prime Factorization of 75550

Prime Factorization of 75564

Now multiplying the highest exponent prime factors to calculate the LCM of 75550 and 75564.

LCM(75550,75564) = 2² × 5² × 1511¹ × 3² × 2099¹
LCM(75550,75564) = 2854430100