What is the Least Common Multiple of 41396 and 41403?

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 41396 and 41403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41396 and 41403, than apply into the LCM equation.

GCF(41396,41403) = 1
LCM(41396,41403) = ( 41396 × 41403) / 1
LCM(41396,41403) = 1713918588 / 1
LCM(41396,41403) = 1713918588

Least Common Multiple (LCM) of 41396 and 41403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41396 and 41403. First we will calculate the prime factors of 41396 and 41403.

Prime Factorization of 41396

Prime Factorization of 41403

Now multiplying the highest exponent prime factors to calculate the LCM of 41396 and 41403.

LCM(41396,41403) = 2² × 79¹ × 131¹ × 3¹ × 37¹ × 373¹
LCM(41396,41403) = 1713918588