What is the Least Common Multiple of 79550 and 79564?

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 79550 and 79564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79550 and 79564, than apply into the LCM equation.

GCF(79550,79564) = 2
LCM(79550,79564) = ( 79550 × 79564) / 2
LCM(79550,79564) = 6329316200 / 2
LCM(79550,79564) = 3164658100

Least Common Multiple (LCM) of 79550 and 79564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79550 and 79564. First we will calculate the prime factors of 79550 and 79564.

Prime Factorization of 79550

Prime Factorization of 79564

Now multiplying the highest exponent prime factors to calculate the LCM of 79550 and 79564.

LCM(79550,79564) = 2² × 5² × 37¹ × 43¹ × 19891¹
LCM(79550,79564) = 3164658100