What is the Least Common Multiple of 72206 and 72221?

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 72221 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 72221, than apply into the LCM equation.

GCF(72206,72221) = 1
LCM(72206,72221) = ( 72206 × 72221) / 1
LCM(72206,72221) = 5214789526 / 1
LCM(72206,72221) = 5214789526

Least Common Multiple (LCM) of 72206 and 72221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72206 and 72221. First we will calculate the prime factors of 72206 and 72221.

Prime Factorization of 72206

Prime Factorization of 72221

Now multiplying the highest exponent prime factors to calculate the LCM of 72206 and 72221.

LCM(72206,72221) = 2¹ × 79¹ × 457¹ × 72221¹
LCM(72206,72221) = 5214789526