What is the Least Common Multiple of 60315 and 60320?

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 60315 and 60320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60315 and 60320, than apply into the LCM equation.

GCF(60315,60320) = 5
LCM(60315,60320) = ( 60315 × 60320) / 5
LCM(60315,60320) = 3638200800 / 5
LCM(60315,60320) = 727640160

Least Common Multiple (LCM) of 60315 and 60320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60315 and 60320. First we will calculate the prime factors of 60315 and 60320.

Prime Factorization of 60315

Prime Factorization of 60320

Now multiplying the highest exponent prime factors to calculate the LCM of 60315 and 60320.

LCM(60315,60320) = 3¹ × 5¹ × 4021¹ × 2⁵ × 13¹ × 29¹
LCM(60315,60320) = 727640160