What is the Least Common Multiple of 72261 and 72266?

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 72261 and 72266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72261 and 72266, than apply into the LCM equation.

GCF(72261,72266) = 1
LCM(72261,72266) = ( 72261 × 72266) / 1
LCM(72261,72266) = 5222013426 / 1
LCM(72261,72266) = 5222013426

Least Common Multiple (LCM) of 72261 and 72266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72261 and 72266. First we will calculate the prime factors of 72261 and 72266.

Prime Factorization of 72261

Prime Factorization of 72266

Now multiplying the highest exponent prime factors to calculate the LCM of 72261 and 72266.

LCM(72261,72266) = 3² × 7¹ × 31¹ × 37¹ × 2¹ × 23¹ × 1571¹
LCM(72261,72266) = 5222013426