What is the Least Common Multiple of 76569 and 76576?

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 76569 and 76576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76569 and 76576, than apply into the LCM equation.

GCF(76569,76576) = 1
LCM(76569,76576) = ( 76569 × 76576) / 1
LCM(76569,76576) = 5863347744 / 1
LCM(76569,76576) = 5863347744

Least Common Multiple (LCM) of 76569 and 76576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76569 and 76576. First we will calculate the prime factors of 76569 and 76576.

Prime Factorization of 76569

Prime Factorization of 76576

Now multiplying the highest exponent prime factors to calculate the LCM of 76569 and 76576.

LCM(76569,76576) = 3¹ × 25523¹ × 2⁵ × 2393¹
LCM(76569,76576) = 5863347744