What is the Least Common Multiple of 82980 and 82995?

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 82980 and 82995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82980 and 82995, than apply into the LCM equation.

GCF(82980,82995) = 15
LCM(82980,82995) = ( 82980 × 82995) / 15
LCM(82980,82995) = 6886925100 / 15
LCM(82980,82995) = 459128340

Least Common Multiple (LCM) of 82980 and 82995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82980 and 82995. First we will calculate the prime factors of 82980 and 82995.

Prime Factorization of 82980

Prime Factorization of 82995

Now multiplying the highest exponent prime factors to calculate the LCM of 82980 and 82995.

LCM(82980,82995) = 2² × 3² × 5¹ × 461¹ × 11¹ × 503¹
LCM(82980,82995) = 459128340