What is the Least Common Multiple of 78474 and 78480?

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 78474 and 78480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78474 and 78480, than apply into the LCM equation.

GCF(78474,78480) = 6
LCM(78474,78480) = ( 78474 × 78480) / 6
LCM(78474,78480) = 6158639520 / 6
LCM(78474,78480) = 1026439920

Least Common Multiple (LCM) of 78474 and 78480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78474 and 78480. First we will calculate the prime factors of 78474 and 78480.

Prime Factorization of 78474

Prime Factorization of 78480

Now multiplying the highest exponent prime factors to calculate the LCM of 78474 and 78480.

LCM(78474,78480) = 2⁴ × 3² × 11¹ × 29¹ × 41¹ × 5¹ × 109¹
LCM(78474,78480) = 1026439920