What is the Least Common Multiple of 76528 and 76538?

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 76528 and 76538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76528 and 76538, than apply into the LCM equation.

GCF(76528,76538) = 2
LCM(76528,76538) = ( 76528 × 76538) / 2
LCM(76528,76538) = 5857300064 / 2
LCM(76528,76538) = 2928650032

Least Common Multiple (LCM) of 76528 and 76538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76528 and 76538. First we will calculate the prime factors of 76528 and 76538.

Prime Factorization of 76528

Prime Factorization of 76538

Now multiplying the highest exponent prime factors to calculate the LCM of 76528 and 76538.

LCM(76528,76538) = 2⁴ × 4783¹ × 7² × 11¹ × 71¹
LCM(76528,76538) = 2928650032