What is the Least Common Multiple of 80608 and 80624?

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 80608 and 80624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80608 and 80624, than apply into the LCM equation.

GCF(80608,80624) = 16
LCM(80608,80624) = ( 80608 × 80624) / 16
LCM(80608,80624) = 6498939392 / 16
LCM(80608,80624) = 406183712

Least Common Multiple (LCM) of 80608 and 80624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80608 and 80624. First we will calculate the prime factors of 80608 and 80624.

Prime Factorization of 80608

Prime Factorization of 80624

Now multiplying the highest exponent prime factors to calculate the LCM of 80608 and 80624.

LCM(80608,80624) = 2⁵ × 11¹ × 229¹ × 5039¹
LCM(80608,80624) = 406183712