What is the Least Common Multiple of 69474 and 69480?

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 69474 and 69480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69474 and 69480, than apply into the LCM equation.

GCF(69474,69480) = 6
LCM(69474,69480) = ( 69474 × 69480) / 6
LCM(69474,69480) = 4827053520 / 6
LCM(69474,69480) = 804508920

Least Common Multiple (LCM) of 69474 and 69480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69474 and 69480. First we will calculate the prime factors of 69474 and 69480.

Prime Factorization of 69474

Prime Factorization of 69480

Now multiplying the highest exponent prime factors to calculate the LCM of 69474 and 69480.

LCM(69474,69480) = 2³ × 3² × 11579¹ × 5¹ × 193¹
LCM(69474,69480) = 804508920