What is the Least Common Multiple of 60003 and 60012?

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 60003 and 60012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60003 and 60012, than apply into the LCM equation.

GCF(60003,60012) = 9
LCM(60003,60012) = ( 60003 × 60012) / 9
LCM(60003,60012) = 3600900036 / 9
LCM(60003,60012) = 400100004

Least Common Multiple (LCM) of 60003 and 60012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60003 and 60012. First we will calculate the prime factors of 60003 and 60012.

Prime Factorization of 60003

Prime Factorization of 60012

Now multiplying the highest exponent prime factors to calculate the LCM of 60003 and 60012.

LCM(60003,60012) = 3² × 59¹ × 113¹ × 2² × 1667¹
LCM(60003,60012) = 400100004