What is the Least Common Multiple of 41349 and 41369?

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 41349 and 41369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41349 and 41369, than apply into the LCM equation.

GCF(41349,41369) = 1
LCM(41349,41369) = ( 41349 × 41369) / 1
LCM(41349,41369) = 1710566781 / 1
LCM(41349,41369) = 1710566781

Least Common Multiple (LCM) of 41349 and 41369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41349 and 41369. First we will calculate the prime factors of 41349 and 41369.

Prime Factorization of 41349

Prime Factorization of 41369

Now multiplying the highest exponent prime factors to calculate the LCM of 41349 and 41369.

LCM(41349,41369) = 3¹ × 7¹ × 11¹ × 179¹ × 41¹ × 1009¹
LCM(41349,41369) = 1710566781