What is the Least Common Multiple of 73208 and 73226?

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 73208 and 73226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73208 and 73226, than apply into the LCM equation.

GCF(73208,73226) = 2
LCM(73208,73226) = ( 73208 × 73226) / 2
LCM(73208,73226) = 5360729008 / 2
LCM(73208,73226) = 2680364504

Least Common Multiple (LCM) of 73208 and 73226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73208 and 73226. First we will calculate the prime factors of 73208 and 73226.

Prime Factorization of 73208

Prime Factorization of 73226

Now multiplying the highest exponent prime factors to calculate the LCM of 73208 and 73226.

LCM(73208,73226) = 2³ × 9151¹ × 19¹ × 41¹ × 47¹
LCM(73208,73226) = 2680364504