What is the Least Common Multiple of 78156 and 78160?

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 78156 and 78160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78156 and 78160, than apply into the LCM equation.

GCF(78156,78160) = 4
LCM(78156,78160) = ( 78156 × 78160) / 4
LCM(78156,78160) = 6108672960 / 4
LCM(78156,78160) = 1527168240

Least Common Multiple (LCM) of 78156 and 78160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78156 and 78160. First we will calculate the prime factors of 78156 and 78160.

Prime Factorization of 78156

Prime Factorization of 78160

Now multiplying the highest exponent prime factors to calculate the LCM of 78156 and 78160.

LCM(78156,78160) = 2⁴ × 3² × 13¹ × 167¹ × 5¹ × 977¹
LCM(78156,78160) = 1527168240