What is the Least Common Multiple of 40050 and 40059?

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 40050 and 40059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40050 and 40059, than apply into the LCM equation.

GCF(40050,40059) = 9
LCM(40050,40059) = ( 40050 × 40059) / 9
LCM(40050,40059) = 1604362950 / 9
LCM(40050,40059) = 178262550

Least Common Multiple (LCM) of 40050 and 40059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40050 and 40059. First we will calculate the prime factors of 40050 and 40059.

Prime Factorization of 40050

Prime Factorization of 40059

Now multiplying the highest exponent prime factors to calculate the LCM of 40050 and 40059.

LCM(40050,40059) = 2¹ × 3² × 5² × 89¹ × 4451¹
LCM(40050,40059) = 178262550