What is the Least Common Multiple of 41976 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 41976 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 41976 and 41993, than apply into the LCM equation.

GCF(41976,41993) = 1
LCM(41976,41993) = ( 41976 × 41993) / 1
LCM(41976,41993) = 1762698168 / 1
LCM(41976,41993) = 1762698168

Least Common Multiple (LCM) of 41976 and 41993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41976 and 41993. First we will calculate the prime factors of 41976 and 41993.

Prime Factorization of 41976

Prime Factorization of 41993

Now multiplying the highest exponent prime factors to calculate the LCM of 41976 and 41993.

LCM(41976,41993) = 2³ × 3² × 11¹ × 53¹ × 7² × 857¹
LCM(41976,41993) = 1762698168