What is the Least Common Multiple of 60103 and 60123?

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 60103 and 60123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60103 and 60123, than apply into the LCM equation.

GCF(60103,60123) = 1
LCM(60103,60123) = ( 60103 × 60123) / 1
LCM(60103,60123) = 3613572669 / 1
LCM(60103,60123) = 3613572669

Least Common Multiple (LCM) of 60103 and 60123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60103 and 60123. First we will calculate the prime factors of 60103 and 60123.

Prime Factorization of 60103

Prime Factorization of 60123

Now multiplying the highest exponent prime factors to calculate the LCM of 60103 and 60123.

LCM(60103,60123) = 60103¹ × 3¹ × 7² × 409¹
LCM(60103,60123) = 3613572669