What is the Least Common Multiple of 41980 and 41991?

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 41991 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 41991, than apply into the LCM equation.

GCF(41980,41991) = 1
LCM(41980,41991) = ( 41980 × 41991) / 1
LCM(41980,41991) = 1762782180 / 1
LCM(41980,41991) = 1762782180

Least Common Multiple (LCM) of 41980 and 41991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41980 and 41991. First we will calculate the prime factors of 41980 and 41991.

Prime Factorization of 41980

Prime Factorization of 41991

Now multiplying the highest exponent prime factors to calculate the LCM of 41980 and 41991.

LCM(41980,41991) = 2² × 5¹ × 2099¹ × 3¹ × 13997¹
LCM(41980,41991) = 1762782180