What is the Least Common Multiple of 76164 and 76168?

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 76164 and 76168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76164 and 76168, than apply into the LCM equation.

GCF(76164,76168) = 4
LCM(76164,76168) = ( 76164 × 76168) / 4
LCM(76164,76168) = 5801259552 / 4
LCM(76164,76168) = 1450314888

Least Common Multiple (LCM) of 76164 and 76168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76164 and 76168. First we will calculate the prime factors of 76164 and 76168.

Prime Factorization of 76164

Prime Factorization of 76168

Now multiplying the highest exponent prime factors to calculate the LCM of 76164 and 76168.

LCM(76164,76168) = 2³ × 3¹ × 11¹ × 577¹ × 9521¹
LCM(76164,76168) = 1450314888