What is the Least Common Multiple of 41438 and 41446?

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 41438 and 41446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41438 and 41446, than apply into the LCM equation.

GCF(41438,41446) = 2
LCM(41438,41446) = ( 41438 × 41446) / 2
LCM(41438,41446) = 1717439348 / 2
LCM(41438,41446) = 858719674

Least Common Multiple (LCM) of 41438 and 41446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41438 and 41446. First we will calculate the prime factors of 41438 and 41446.

Prime Factorization of 41438

Prime Factorization of 41446

Now multiplying the highest exponent prime factors to calculate the LCM of 41438 and 41446.

LCM(41438,41446) = 2¹ × 20719¹ × 17¹ × 23¹ × 53¹
LCM(41438,41446) = 858719674