What is the Least Common Multiple of 77148 and 77164?

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 77164 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 77164, than apply into the LCM equation.

GCF(77148,77164) = 4
LCM(77148,77164) = ( 77148 × 77164) / 4
LCM(77148,77164) = 5953048272 / 4
LCM(77148,77164) = 1488262068

Least Common Multiple (LCM) of 77148 and 77164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77148 and 77164. First we will calculate the prime factors of 77148 and 77164.

Prime Factorization of 77148

Prime Factorization of 77164

Now multiplying the highest exponent prime factors to calculate the LCM of 77148 and 77164.

LCM(77148,77164) = 2² × 3² × 2143¹ × 101¹ × 191¹
LCM(77148,77164) = 1488262068