What is the Least Common Multiple of 79600 and 79615?

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 79600 and 79615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79600 and 79615, than apply into the LCM equation.

GCF(79600,79615) = 5
LCM(79600,79615) = ( 79600 × 79615) / 5
LCM(79600,79615) = 6337354000 / 5
LCM(79600,79615) = 1267470800

Least Common Multiple (LCM) of 79600 and 79615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79600 and 79615. First we will calculate the prime factors of 79600 and 79615.

Prime Factorization of 79600

Prime Factorization of 79615

Now multiplying the highest exponent prime factors to calculate the LCM of 79600 and 79615.

LCM(79600,79615) = 2⁴ × 5² × 199¹ × 15923¹
LCM(79600,79615) = 1267470800