What is the Least Common Multiple of 79600 and 79609?

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 79609 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 79609, than apply into the LCM equation.

GCF(79600,79609) = 1
LCM(79600,79609) = ( 79600 × 79609) / 1
LCM(79600,79609) = 6336876400 / 1
LCM(79600,79609) = 6336876400

Least Common Multiple (LCM) of 79600 and 79609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79600 and 79609. First we will calculate the prime factors of 79600 and 79609.

Prime Factorization of 79600

Prime Factorization of 79609

Now multiplying the highest exponent prime factors to calculate the LCM of 79600 and 79609.

LCM(79600,79609) = 2⁴ × 5² × 199¹ × 79609¹
LCM(79600,79609) = 6336876400