What is the Least Common Multiple of 58546 and 58560?

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 58546 and 58560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58546 and 58560, than apply into the LCM equation.

GCF(58546,58560) = 2
LCM(58546,58560) = ( 58546 × 58560) / 2
LCM(58546,58560) = 3428453760 / 2
LCM(58546,58560) = 1714226880

Least Common Multiple (LCM) of 58546 and 58560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58546 and 58560. First we will calculate the prime factors of 58546 and 58560.

Prime Factorization of 58546

Prime Factorization of 58560

Now multiplying the highest exponent prime factors to calculate the LCM of 58546 and 58560.

LCM(58546,58560) = 2⁶ × 73¹ × 401¹ × 3¹ × 5¹ × 61¹
LCM(58546,58560) = 1714226880