What is the Least Common Multiple of 82362 and 82380?

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 82362 and 82380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82362 and 82380, than apply into the LCM equation.

GCF(82362,82380) = 6
LCM(82362,82380) = ( 82362 × 82380) / 6
LCM(82362,82380) = 6784981560 / 6
LCM(82362,82380) = 1130830260

Least Common Multiple (LCM) of 82362 and 82380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82362 and 82380. First we will calculate the prime factors of 82362 and 82380.

Prime Factorization of 82362

Prime Factorization of 82380

Now multiplying the highest exponent prime factors to calculate the LCM of 82362 and 82380.

LCM(82362,82380) = 2² × 3¹ × 7¹ × 37¹ × 53¹ × 5¹ × 1373¹
LCM(82362,82380) = 1130830260