What is the Least Common Multiple of 82257 and 82263?

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 82257 and 82263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82257 and 82263, than apply into the LCM equation.

GCF(82257,82263) = 3
LCM(82257,82263) = ( 82257 × 82263) / 3
LCM(82257,82263) = 6766707591 / 3
LCM(82257,82263) = 2255569197

Least Common Multiple (LCM) of 82257 and 82263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82257 and 82263. First we will calculate the prime factors of 82257 and 82263.

Prime Factorization of 82257

Prime Factorization of 82263

Now multiplying the highest exponent prime factors to calculate the LCM of 82257 and 82263.

LCM(82257,82263) = 3¹ × 7¹ × 3917¹ × 17¹ × 1613¹
LCM(82257,82263) = 2255569197