What is the Least Common Multiple of 60040 and 60059?

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 60040 and 60059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60040 and 60059, than apply into the LCM equation.

GCF(60040,60059) = 19
LCM(60040,60059) = ( 60040 × 60059) / 19
LCM(60040,60059) = 3605942360 / 19
LCM(60040,60059) = 189786440

Least Common Multiple (LCM) of 60040 and 60059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60040 and 60059. First we will calculate the prime factors of 60040 and 60059.

Prime Factorization of 60040

Prime Factorization of 60059

Now multiplying the highest exponent prime factors to calculate the LCM of 60040 and 60059.

LCM(60040,60059) = 2³ × 5¹ × 19¹ × 79¹ × 29¹ × 109¹
LCM(60040,60059) = 189786440