What is the Least Common Multiple of 76609 and 76624?

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 76609 and 76624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76609 and 76624, than apply into the LCM equation.

GCF(76609,76624) = 1
LCM(76609,76624) = ( 76609 × 76624) / 1
LCM(76609,76624) = 5870088016 / 1
LCM(76609,76624) = 5870088016

Least Common Multiple (LCM) of 76609 and 76624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76609 and 76624. First we will calculate the prime factors of 76609 and 76624.

Prime Factorization of 76609

Prime Factorization of 76624

Now multiplying the highest exponent prime factors to calculate the LCM of 76609 and 76624.

LCM(76609,76624) = 13¹ × 71¹ × 83¹ × 2⁴ × 4789¹
LCM(76609,76624) = 5870088016