What is the Least Common Multiple of 76280 and 76288?

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 76280 and 76288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76280 and 76288, than apply into the LCM equation.

GCF(76280,76288) = 8
LCM(76280,76288) = ( 76280 × 76288) / 8
LCM(76280,76288) = 5819248640 / 8
LCM(76280,76288) = 727406080

Least Common Multiple (LCM) of 76280 and 76288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76280 and 76288. First we will calculate the prime factors of 76280 and 76288.

Prime Factorization of 76280

Prime Factorization of 76288

Now multiplying the highest exponent prime factors to calculate the LCM of 76280 and 76288.

LCM(76280,76288) = 2⁹ × 5¹ × 1907¹ × 149¹
LCM(76280,76288) = 727406080