What is the Least Common Multiple of 79489 and 79507?

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 79489 and 79507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79489 and 79507, than apply into the LCM equation.

GCF(79489,79507) = 1
LCM(79489,79507) = ( 79489 × 79507) / 1
LCM(79489,79507) = 6319931923 / 1
LCM(79489,79507) = 6319931923

Least Common Multiple (LCM) of 79489 and 79507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79489 and 79507. First we will calculate the prime factors of 79489 and 79507.

Prime Factorization of 79489

Prime Factorization of 79507

Now multiplying the highest exponent prime factors to calculate the LCM of 79489 and 79507.

LCM(79489,79507) = 29¹ × 2741¹ × 43³
LCM(79489,79507) = 6319931923