What is the Least Common Multiple of 41638 and 41658?

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 41638 and 41658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41638 and 41658, than apply into the LCM equation.

GCF(41638,41658) = 2
LCM(41638,41658) = ( 41638 × 41658) / 2
LCM(41638,41658) = 1734555804 / 2
LCM(41638,41658) = 867277902

Least Common Multiple (LCM) of 41638 and 41658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41638 and 41658. First we will calculate the prime factors of 41638 and 41658.

Prime Factorization of 41638

Prime Factorization of 41658

Now multiplying the highest exponent prime factors to calculate the LCM of 41638 and 41658.

LCM(41638,41658) = 2¹ × 109¹ × 191¹ × 3¹ × 53¹ × 131¹
LCM(41638,41658) = 867277902