What is the Least Common Multiple of 79240 and 79260?

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 79240 and 79260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79240 and 79260, than apply into the LCM equation.

GCF(79240,79260) = 20
LCM(79240,79260) = ( 79240 × 79260) / 20
LCM(79240,79260) = 6280562400 / 20
LCM(79240,79260) = 314028120

Least Common Multiple (LCM) of 79240 and 79260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79240 and 79260. First we will calculate the prime factors of 79240 and 79260.

Prime Factorization of 79240

Prime Factorization of 79260

Now multiplying the highest exponent prime factors to calculate the LCM of 79240 and 79260.

LCM(79240,79260) = 2³ × 5¹ × 7¹ × 283¹ × 3¹ × 1321¹
LCM(79240,79260) = 314028120