What is the Least Common Multiple of 59997 and 60003?

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 59997 and 60003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59997 and 60003, than apply into the LCM equation.

GCF(59997,60003) = 3
LCM(59997,60003) = ( 59997 × 60003) / 3
LCM(59997,60003) = 3599999991 / 3
LCM(59997,60003) = 1199999997

Least Common Multiple (LCM) of 59997 and 60003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59997 and 60003. First we will calculate the prime factors of 59997 and 60003.

Prime Factorization of 59997

Prime Factorization of 60003

Now multiplying the highest exponent prime factors to calculate the LCM of 59997 and 60003.

LCM(59997,60003) = 3² × 7¹ × 2857¹ × 59¹ × 113¹
LCM(59997,60003) = 1199999997