What is the Least Common Multiple of 41119 and 41132?

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 41119 and 41132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41119 and 41132, than apply into the LCM equation.

GCF(41119,41132) = 13
LCM(41119,41132) = ( 41119 × 41132) / 13
LCM(41119,41132) = 1691306708 / 13
LCM(41119,41132) = 130100516

Least Common Multiple (LCM) of 41119 and 41132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41119 and 41132. First we will calculate the prime factors of 41119 and 41132.

Prime Factorization of 41119

Prime Factorization of 41132

Now multiplying the highest exponent prime factors to calculate the LCM of 41119 and 41132.

LCM(41119,41132) = 13¹ × 3163¹ × 2² × 7¹ × 113¹
LCM(41119,41132) = 130100516