What is the Least Common Multiple of 41458 and 41462?

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 41458 and 41462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41458 and 41462, than apply into the LCM equation.

GCF(41458,41462) = 2
LCM(41458,41462) = ( 41458 × 41462) / 2
LCM(41458,41462) = 1718931596 / 2
LCM(41458,41462) = 859465798

Least Common Multiple (LCM) of 41458 and 41462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41458 and 41462. First we will calculate the prime factors of 41458 and 41462.

Prime Factorization of 41458

Prime Factorization of 41462

Now multiplying the highest exponent prime factors to calculate the LCM of 41458 and 41462.

LCM(41458,41462) = 2¹ × 19¹ × 1091¹ × 20731¹
LCM(41458,41462) = 859465798