What is the Least Common Multiple of 41980 and 41994?

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 41994 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 41994, than apply into the LCM equation.

GCF(41980,41994) = 2
LCM(41980,41994) = ( 41980 × 41994) / 2
LCM(41980,41994) = 1762908120 / 2
LCM(41980,41994) = 881454060

Least Common Multiple (LCM) of 41980 and 41994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41980 and 41994. First we will calculate the prime factors of 41980 and 41994.

Prime Factorization of 41980

Prime Factorization of 41994

Now multiplying the highest exponent prime factors to calculate the LCM of 41980 and 41994.

LCM(41980,41994) = 2² × 5¹ × 2099¹ × 3² × 2333¹
LCM(41980,41994) = 881454060