What is the Least Common Multiple of 73050 and 73059?

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 73050 and 73059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73050 and 73059, than apply into the LCM equation.

GCF(73050,73059) = 3
LCM(73050,73059) = ( 73050 × 73059) / 3
LCM(73050,73059) = 5336959950 / 3
LCM(73050,73059) = 1778986650

Least Common Multiple (LCM) of 73050 and 73059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73050 and 73059. First we will calculate the prime factors of 73050 and 73059.

Prime Factorization of 73050

Prime Factorization of 73059

Now multiplying the highest exponent prime factors to calculate the LCM of 73050 and 73059.

LCM(73050,73059) = 2¹ × 3¹ × 5² × 487¹ × 7³ × 71¹
LCM(73050,73059) = 1778986650