What is the Least Common Multiple of 58530 and 58544?

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 58530 and 58544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58530 and 58544, than apply into the LCM equation.

GCF(58530,58544) = 2
LCM(58530,58544) = ( 58530 × 58544) / 2
LCM(58530,58544) = 3426580320 / 2
LCM(58530,58544) = 1713290160

Least Common Multiple (LCM) of 58530 and 58544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58530 and 58544. First we will calculate the prime factors of 58530 and 58544.

Prime Factorization of 58530

Prime Factorization of 58544

Now multiplying the highest exponent prime factors to calculate the LCM of 58530 and 58544.

LCM(58530,58544) = 2⁴ × 3¹ × 5¹ × 1951¹ × 3659¹
LCM(58530,58544) = 1713290160