What is the Least Common Multiple of 73206 and 73224?

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 73206 and 73224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73206 and 73224, than apply into the LCM equation.

GCF(73206,73224) = 18
LCM(73206,73224) = ( 73206 × 73224) / 18
LCM(73206,73224) = 5360436144 / 18
LCM(73206,73224) = 297802008

Least Common Multiple (LCM) of 73206 and 73224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73206 and 73224. First we will calculate the prime factors of 73206 and 73224.

Prime Factorization of 73206

Prime Factorization of 73224

Now multiplying the highest exponent prime factors to calculate the LCM of 73206 and 73224.

LCM(73206,73224) = 2³ × 3⁴ × 7² × 83¹ × 113¹
LCM(73206,73224) = 297802008