What is the Least Common Multiple of 58560 and 58576?

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 58560 and 58576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58560 and 58576, than apply into the LCM equation.

GCF(58560,58576) = 16
LCM(58560,58576) = ( 58560 × 58576) / 16
LCM(58560,58576) = 3430210560 / 16
LCM(58560,58576) = 214388160

Least Common Multiple (LCM) of 58560 and 58576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58560 and 58576. First we will calculate the prime factors of 58560 and 58576.

Prime Factorization of 58560

Prime Factorization of 58576

Now multiplying the highest exponent prime factors to calculate the LCM of 58560 and 58576.

LCM(58560,58576) = 2⁶ × 3¹ × 5¹ × 61¹ × 7¹ × 523¹
LCM(58560,58576) = 214388160