What is the Least Common Multiple of 81975 and 81995?

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 81975 and 81995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81975 and 81995, than apply into the LCM equation.

GCF(81975,81995) = 5
LCM(81975,81995) = ( 81975 × 81995) / 5
LCM(81975,81995) = 6721540125 / 5
LCM(81975,81995) = 1344308025

Least Common Multiple (LCM) of 81975 and 81995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81975 and 81995. First we will calculate the prime factors of 81975 and 81995.

Prime Factorization of 81975

Prime Factorization of 81995

Now multiplying the highest exponent prime factors to calculate the LCM of 81975 and 81995.

LCM(81975,81995) = 3¹ × 5² × 1093¹ × 23² × 31¹
LCM(81975,81995) = 1344308025