What is the Least Common Multiple of 60348 and 60355?

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 60355 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 60355, than apply into the LCM equation.

GCF(60348,60355) = 1
LCM(60348,60355) = ( 60348 × 60355) / 1
LCM(60348,60355) = 3642303540 / 1
LCM(60348,60355) = 3642303540

Least Common Multiple (LCM) of 60348 and 60355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60348 and 60355. First we will calculate the prime factors of 60348 and 60355.

Prime Factorization of 60348

Prime Factorization of 60355

Now multiplying the highest exponent prime factors to calculate the LCM of 60348 and 60355.

LCM(60348,60355) = 2² × 3¹ × 47¹ × 107¹ × 5¹ × 12071¹
LCM(60348,60355) = 3642303540