What is the Least Common Multiple of 59994 and 60004?

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 59994 and 60004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59994 and 60004, than apply into the LCM equation.

GCF(59994,60004) = 2
LCM(59994,60004) = ( 59994 × 60004) / 2
LCM(59994,60004) = 3599879976 / 2
LCM(59994,60004) = 1799939988

Least Common Multiple (LCM) of 59994 and 60004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59994 and 60004. First we will calculate the prime factors of 59994 and 60004.

Prime Factorization of 59994

Prime Factorization of 60004

Now multiplying the highest exponent prime factors to calculate the LCM of 59994 and 60004.

LCM(59994,60004) = 2² × 3³ × 11¹ × 101¹ × 7¹ × 2143¹
LCM(59994,60004) = 1799939988