What is the Least Common Multiple of 41489 and 41502?

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 41489 and 41502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41489 and 41502, than apply into the LCM equation.

GCF(41489,41502) = 1
LCM(41489,41502) = ( 41489 × 41502) / 1
LCM(41489,41502) = 1721876478 / 1
LCM(41489,41502) = 1721876478

Least Common Multiple (LCM) of 41489 and 41502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41489 and 41502. First we will calculate the prime factors of 41489 and 41502.

Prime Factorization of 41489

Prime Factorization of 41502

Now multiplying the highest exponent prime factors to calculate the LCM of 41489 and 41502.

LCM(41489,41502) = 7¹ × 5927¹ × 2¹ × 3¹ × 6917¹
LCM(41489,41502) = 1721876478