What is the Least Common Multiple of 60348 and 60358?

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 60348 and 60358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60348 and 60358, than apply into the LCM equation.

GCF(60348,60358) = 2
LCM(60348,60358) = ( 60348 × 60358) / 2
LCM(60348,60358) = 3642484584 / 2
LCM(60348,60358) = 1821242292

Least Common Multiple (LCM) of 60348 and 60358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60348 and 60358. First we will calculate the prime factors of 60348 and 60358.

Prime Factorization of 60348

Prime Factorization of 60358

Now multiplying the highest exponent prime factors to calculate the LCM of 60348 and 60358.

LCM(60348,60358) = 2² × 3¹ × 47¹ × 107¹ × 103¹ × 293¹
LCM(60348,60358) = 1821242292