What is the Least Common Multiple of 82261 and 82272?

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 82261 and 82272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82261 and 82272, than apply into the LCM equation.

GCF(82261,82272) = 1
LCM(82261,82272) = ( 82261 × 82272) / 1
LCM(82261,82272) = 6767776992 / 1
LCM(82261,82272) = 6767776992

Least Common Multiple (LCM) of 82261 and 82272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82261 and 82272. First we will calculate the prime factors of 82261 and 82272.

Prime Factorization of 82261

Prime Factorization of 82272

Now multiplying the highest exponent prime factors to calculate the LCM of 82261 and 82272.

LCM(82261,82272) = 82261¹ × 2⁵ × 3¹ × 857¹
LCM(82261,82272) = 6767776992