What is the Least Common Multiple of 41076 and 41096?

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 41076 and 41096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41076 and 41096, than apply into the LCM equation.

GCF(41076,41096) = 4
LCM(41076,41096) = ( 41076 × 41096) / 4
LCM(41076,41096) = 1688059296 / 4
LCM(41076,41096) = 422014824

Least Common Multiple (LCM) of 41076 and 41096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41076 and 41096. First we will calculate the prime factors of 41076 and 41096.

Prime Factorization of 41076

Prime Factorization of 41096

Now multiplying the highest exponent prime factors to calculate the LCM of 41076 and 41096.

LCM(41076,41096) = 2³ × 3² × 7¹ × 163¹ × 11¹ × 467¹
LCM(41076,41096) = 422014824