What is the Least Common Multiple of 73050 and 73068?

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 73068 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 73068, than apply into the LCM equation.

GCF(73050,73068) = 6
LCM(73050,73068) = ( 73050 × 73068) / 6
LCM(73050,73068) = 5337617400 / 6
LCM(73050,73068) = 889602900

Least Common Multiple (LCM) of 73050 and 73068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73050 and 73068. First we will calculate the prime factors of 73050 and 73068.

Prime Factorization of 73050

Prime Factorization of 73068

Now multiplying the highest exponent prime factors to calculate the LCM of 73050 and 73068.

LCM(73050,73068) = 2² × 3¹ × 5² × 487¹ × 6089¹
LCM(73050,73068) = 889602900