What is the Least Common Multiple of 82961 and 82967?

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 82961 and 82967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82961 and 82967, than apply into the LCM equation.

GCF(82961,82967) = 1
LCM(82961,82967) = ( 82961 × 82967) / 1
LCM(82961,82967) = 6883025287 / 1
LCM(82961,82967) = 6883025287

Least Common Multiple (LCM) of 82961 and 82967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82961 and 82967. First we will calculate the prime factors of 82961 and 82967.

Prime Factorization of 82961

Prime Factorization of 82967

Now multiplying the highest exponent prime factors to calculate the LCM of 82961 and 82967.

LCM(82961,82967) = 23¹ × 3607¹ × 163¹ × 509¹
LCM(82961,82967) = 6883025287