What is the Least Common Multiple of 60312 and 60319?

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 60312 and 60319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60312 and 60319, than apply into the LCM equation.

GCF(60312,60319) = 7
LCM(60312,60319) = ( 60312 × 60319) / 7
LCM(60312,60319) = 3637959528 / 7
LCM(60312,60319) = 519708504

Least Common Multiple (LCM) of 60312 and 60319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60312 and 60319. First we will calculate the prime factors of 60312 and 60319.

Prime Factorization of 60312

Prime Factorization of 60319

Now multiplying the highest exponent prime factors to calculate the LCM of 60312 and 60319.

LCM(60312,60319) = 2³ × 3¹ × 7² × 359¹ × 1231¹
LCM(60312,60319) = 519708504