What is the Least Common Multiple of 60114 and 60134?

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 60114 and 60134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60114 and 60134, than apply into the LCM equation.

GCF(60114,60134) = 2
LCM(60114,60134) = ( 60114 × 60134) / 2
LCM(60114,60134) = 3614895276 / 2
LCM(60114,60134) = 1807447638

Least Common Multiple (LCM) of 60114 and 60134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60114 and 60134. First we will calculate the prime factors of 60114 and 60134.

Prime Factorization of 60114

Prime Factorization of 60134

Now multiplying the highest exponent prime factors to calculate the LCM of 60114 and 60134.

LCM(60114,60134) = 2¹ × 3¹ × 43¹ × 233¹ × 107¹ × 281¹
LCM(60114,60134) = 1807447638