What is the Least Common Multiple of 76524 and 76544?

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 76524 and 76544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76524 and 76544, than apply into the LCM equation.

GCF(76524,76544) = 4
LCM(76524,76544) = ( 76524 × 76544) / 4
LCM(76524,76544) = 5857453056 / 4
LCM(76524,76544) = 1464363264

Least Common Multiple (LCM) of 76524 and 76544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76524 and 76544. First we will calculate the prime factors of 76524 and 76544.

Prime Factorization of 76524

Prime Factorization of 76544

Now multiplying the highest exponent prime factors to calculate the LCM of 76524 and 76544.

LCM(76524,76544) = 2⁸ × 3¹ × 7¹ × 911¹ × 13¹ × 23¹
LCM(76524,76544) = 1464363264