What is the Least Common Multiple of 40980 and 40995?

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 40980 and 40995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40980 and 40995, than apply into the LCM equation.

GCF(40980,40995) = 15
LCM(40980,40995) = ( 40980 × 40995) / 15
LCM(40980,40995) = 1679975100 / 15
LCM(40980,40995) = 111998340

Least Common Multiple (LCM) of 40980 and 40995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40980 and 40995. First we will calculate the prime factors of 40980 and 40995.

Prime Factorization of 40980

Prime Factorization of 40995

Now multiplying the highest exponent prime factors to calculate the LCM of 40980 and 40995.

LCM(40980,40995) = 2² × 3² × 5¹ × 683¹ × 911¹
LCM(40980,40995) = 111998340