What is the Least Common Multiple of 60000 and 60006?

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 60000 and 60006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60000 and 60006, than apply into the LCM equation.

GCF(60000,60006) = 6
LCM(60000,60006) = ( 60000 × 60006) / 6
LCM(60000,60006) = 3600360000 / 6
LCM(60000,60006) = 600060000

Least Common Multiple (LCM) of 60000 and 60006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60000 and 60006. First we will calculate the prime factors of 60000 and 60006.

Prime Factorization of 60000

Prime Factorization of 60006

Now multiplying the highest exponent prime factors to calculate the LCM of 60000 and 60006.

LCM(60000,60006) = 2⁵ × 3¹ × 5⁴ × 73¹ × 137¹
LCM(60000,60006) = 600060000