What is the Least Common Multiple of 79120 and 79132?

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 79132 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 79132, than apply into the LCM equation.

GCF(79120,79132) = 4
LCM(79120,79132) = ( 79120 × 79132) / 4
LCM(79120,79132) = 6260923840 / 4
LCM(79120,79132) = 1565230960

Least Common Multiple (LCM) of 79120 and 79132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79120 and 79132. First we will calculate the prime factors of 79120 and 79132.

Prime Factorization of 79120

Prime Factorization of 79132

Now multiplying the highest exponent prime factors to calculate the LCM of 79120 and 79132.

LCM(79120,79132) = 2⁴ × 5¹ × 23¹ × 43¹ × 73¹ × 271¹
LCM(79120,79132) = 1565230960