What is the Least Common Multiple of 41985 and 41996?

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 41985 and 41996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41985 and 41996, than apply into the LCM equation.

GCF(41985,41996) = 1
LCM(41985,41996) = ( 41985 × 41996) / 1
LCM(41985,41996) = 1763202060 / 1
LCM(41985,41996) = 1763202060

Least Common Multiple (LCM) of 41985 and 41996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41985 and 41996. First we will calculate the prime factors of 41985 and 41996.

Prime Factorization of 41985

Prime Factorization of 41996

Now multiplying the highest exponent prime factors to calculate the LCM of 41985 and 41996.

LCM(41985,41996) = 3³ × 5¹ × 311¹ × 2² × 10499¹
LCM(41985,41996) = 1763202060