What is the Least Common Multiple of 41965 and 41985?

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 41965 and 41985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41965 and 41985, than apply into the LCM equation.

GCF(41965,41985) = 5
LCM(41965,41985) = ( 41965 × 41985) / 5
LCM(41965,41985) = 1761900525 / 5
LCM(41965,41985) = 352380105

Least Common Multiple (LCM) of 41965 and 41985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41965 and 41985. First we will calculate the prime factors of 41965 and 41985.

Prime Factorization of 41965

Prime Factorization of 41985

Now multiplying the highest exponent prime factors to calculate the LCM of 41965 and 41985.

LCM(41965,41985) = 5¹ × 7¹ × 11¹ × 109¹ × 3³ × 311¹
LCM(41965,41985) = 352380105