What is the Least Common Multiple of 60530 and 60547?

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 60530 and 60547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60530 and 60547, than apply into the LCM equation.

GCF(60530,60547) = 1
LCM(60530,60547) = ( 60530 × 60547) / 1
LCM(60530,60547) = 3664909910 / 1
LCM(60530,60547) = 3664909910

Least Common Multiple (LCM) of 60530 and 60547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60530 and 60547. First we will calculate the prime factors of 60530 and 60547.

Prime Factorization of 60530

Prime Factorization of 60547

Now multiplying the highest exponent prime factors to calculate the LCM of 60530 and 60547.

LCM(60530,60547) = 2¹ × 5¹ × 6053¹ × 191¹ × 317¹
LCM(60530,60547) = 3664909910