What is the Least Common Multiple of 76176 and 76180?

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 76176 and 76180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76176 and 76180, than apply into the LCM equation.

GCF(76176,76180) = 4
LCM(76176,76180) = ( 76176 × 76180) / 4
LCM(76176,76180) = 5803087680 / 4
LCM(76176,76180) = 1450771920

Least Common Multiple (LCM) of 76176 and 76180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76176 and 76180. First we will calculate the prime factors of 76176 and 76180.

Prime Factorization of 76176

Prime Factorization of 76180

Now multiplying the highest exponent prime factors to calculate the LCM of 76176 and 76180.

LCM(76176,76180) = 2⁴ × 3² × 23² × 5¹ × 13¹ × 293¹
LCM(76176,76180) = 1450771920