What is the Least Common Multiple of 78156 and 78166?

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 78166 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 78166, than apply into the LCM equation.

GCF(78156,78166) = 2
LCM(78156,78166) = ( 78156 × 78166) / 2
LCM(78156,78166) = 6109141896 / 2
LCM(78156,78166) = 3054570948

Least Common Multiple (LCM) of 78156 and 78166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78156 and 78166. First we will calculate the prime factors of 78156 and 78166.

Prime Factorization of 78156

Prime Factorization of 78166

Now multiplying the highest exponent prime factors to calculate the LCM of 78156 and 78166.

LCM(78156,78166) = 2² × 3² × 13¹ × 167¹ × 11² × 17¹ × 19¹
LCM(78156,78166) = 3054570948