What is the Least Common Multiple of 82677 and 82692?

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 82677 and 82692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82677 and 82692, than apply into the LCM equation.

GCF(82677,82692) = 3
LCM(82677,82692) = ( 82677 × 82692) / 3
LCM(82677,82692) = 6836726484 / 3
LCM(82677,82692) = 2278908828

Least Common Multiple (LCM) of 82677 and 82692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82677 and 82692. First we will calculate the prime factors of 82677 and 82692.

Prime Factorization of 82677

Prime Factorization of 82692

Now multiplying the highest exponent prime factors to calculate the LCM of 82677 and 82692.

LCM(82677,82692) = 3² × 7¹ × 31¹ × 127¹ × 2² × 2297¹
LCM(82677,82692) = 2278908828