What is the Least Common Multiple of 77148 and 77162?

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 77148 and 77162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77148 and 77162, than apply into the LCM equation.

GCF(77148,77162) = 2
LCM(77148,77162) = ( 77148 × 77162) / 2
LCM(77148,77162) = 5952893976 / 2
LCM(77148,77162) = 2976446988

Least Common Multiple (LCM) of 77148 and 77162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77148 and 77162. First we will calculate the prime factors of 77148 and 77162.

Prime Factorization of 77148

Prime Factorization of 77162

Now multiplying the highest exponent prime factors to calculate the LCM of 77148 and 77162.

LCM(77148,77162) = 2² × 3² × 2143¹ × 41¹ × 941¹
LCM(77148,77162) = 2976446988