What is the Least Common Multiple of 78060 and 78072?

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 78060 and 78072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78060 and 78072, than apply into the LCM equation.

GCF(78060,78072) = 12
LCM(78060,78072) = ( 78060 × 78072) / 12
LCM(78060,78072) = 6094300320 / 12
LCM(78060,78072) = 507858360

Least Common Multiple (LCM) of 78060 and 78072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78060 and 78072. First we will calculate the prime factors of 78060 and 78072.

Prime Factorization of 78060

Prime Factorization of 78072

Now multiplying the highest exponent prime factors to calculate the LCM of 78060 and 78072.

LCM(78060,78072) = 2³ × 3¹ × 5¹ × 1301¹ × 3253¹
LCM(78060,78072) = 507858360