What is the Least Common Multiple of 41445 and 41451?

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 41445 and 41451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41445 and 41451, than apply into the LCM equation.

GCF(41445,41451) = 3
LCM(41445,41451) = ( 41445 × 41451) / 3
LCM(41445,41451) = 1717936695 / 3
LCM(41445,41451) = 572645565

Least Common Multiple (LCM) of 41445 and 41451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41445 and 41451. First we will calculate the prime factors of 41445 and 41451.

Prime Factorization of 41445

Prime Factorization of 41451

Now multiplying the highest exponent prime factors to calculate the LCM of 41445 and 41451.

LCM(41445,41451) = 3³ × 5¹ × 307¹ × 41¹ × 337¹
LCM(41445,41451) = 572645565