What is the Least Common Multiple of 41980 and 41995?

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 41980 and 41995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41980 and 41995, than apply into the LCM equation.

GCF(41980,41995) = 5
LCM(41980,41995) = ( 41980 × 41995) / 5
LCM(41980,41995) = 1762950100 / 5
LCM(41980,41995) = 352590020

Least Common Multiple (LCM) of 41980 and 41995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41980 and 41995. First we will calculate the prime factors of 41980 and 41995.

Prime Factorization of 41980

Prime Factorization of 41995

Now multiplying the highest exponent prime factors to calculate the LCM of 41980 and 41995.

LCM(41980,41995) = 2² × 5¹ × 2099¹ × 37¹ × 227¹
LCM(41980,41995) = 352590020