What is the Least Common Multiple of 60047 and 60060?

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 60047 and 60060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60047 and 60060, than apply into the LCM equation.

GCF(60047,60060) = 13
LCM(60047,60060) = ( 60047 × 60060) / 13
LCM(60047,60060) = 3606422820 / 13
LCM(60047,60060) = 277417140

Least Common Multiple (LCM) of 60047 and 60060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60047 and 60060. First we will calculate the prime factors of 60047 and 60060.

Prime Factorization of 60047

Prime Factorization of 60060

Now multiplying the highest exponent prime factors to calculate the LCM of 60047 and 60060.

LCM(60047,60060) = 13¹ × 31¹ × 149¹ × 2² × 3¹ × 5¹ × 7¹ × 11¹
LCM(60047,60060) = 277417140