What is the Least Common Multiple of 41986 and 41993?

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 41986 and 41993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41986 and 41993, than apply into the LCM equation.

GCF(41986,41993) = 7
LCM(41986,41993) = ( 41986 × 41993) / 7
LCM(41986,41993) = 1763118098 / 7
LCM(41986,41993) = 251874014

Least Common Multiple (LCM) of 41986 and 41993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41986 and 41993. First we will calculate the prime factors of 41986 and 41993.

Prime Factorization of 41986

Prime Factorization of 41993

Now multiplying the highest exponent prime factors to calculate the LCM of 41986 and 41993.

LCM(41986,41993) = 2¹ × 7² × 2999¹ × 857¹
LCM(41986,41993) = 251874014