What is the Least Common Multiple of 72206 and 72226?

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 72206 and 72226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72206 and 72226, than apply into the LCM equation.

GCF(72206,72226) = 2
LCM(72206,72226) = ( 72206 × 72226) / 2
LCM(72206,72226) = 5215150556 / 2
LCM(72206,72226) = 2607575278

Least Common Multiple (LCM) of 72206 and 72226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72206 and 72226. First we will calculate the prime factors of 72206 and 72226.

Prime Factorization of 72206

Prime Factorization of 72226

Now multiplying the highest exponent prime factors to calculate the LCM of 72206 and 72226.

LCM(72206,72226) = 2¹ × 79¹ × 457¹ × 7² × 11¹ × 67¹
LCM(72206,72226) = 2607575278