What is the Least Common Multiple of 79120 and 79130?

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 79120 and 79130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79120 and 79130, than apply into the LCM equation.

GCF(79120,79130) = 10
LCM(79120,79130) = ( 79120 × 79130) / 10
LCM(79120,79130) = 6260765600 / 10
LCM(79120,79130) = 626076560

Least Common Multiple (LCM) of 79120 and 79130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79120 and 79130. First we will calculate the prime factors of 79120 and 79130.

Prime Factorization of 79120

Prime Factorization of 79130

Now multiplying the highest exponent prime factors to calculate the LCM of 79120 and 79130.

LCM(79120,79130) = 2⁴ × 5¹ × 23¹ × 43¹ × 41¹ × 193¹
LCM(79120,79130) = 626076560