What is the Least Common Multiple of 76525 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 76525 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 76525 and 76544, than apply into the LCM equation.

GCF(76525,76544) = 1
LCM(76525,76544) = ( 76525 × 76544) / 1
LCM(76525,76544) = 5857529600 / 1
LCM(76525,76544) = 5857529600

Least Common Multiple (LCM) of 76525 and 76544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76525 and 76544. First we will calculate the prime factors of 76525 and 76544.

Prime Factorization of 76525

Prime Factorization of 76544

Now multiplying the highest exponent prime factors to calculate the LCM of 76525 and 76544.

LCM(76525,76544) = 5² × 3061¹ × 2⁸ × 13¹ × 23¹
LCM(76525,76544) = 5857529600