What is the Least Common Multiple of 79461 and 79480?

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 79461 and 79480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79461 and 79480, than apply into the LCM equation.

GCF(79461,79480) = 1
LCM(79461,79480) = ( 79461 × 79480) / 1
LCM(79461,79480) = 6315560280 / 1
LCM(79461,79480) = 6315560280

Least Common Multiple (LCM) of 79461 and 79480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79461 and 79480. First we will calculate the prime factors of 79461 and 79480.

Prime Factorization of 79461

Prime Factorization of 79480

Now multiplying the highest exponent prime factors to calculate the LCM of 79461 and 79480.

LCM(79461,79480) = 3⁶ × 109¹ × 2³ × 5¹ × 1987¹
LCM(79461,79480) = 6315560280