What is the Least Common Multiple of 41461 and 41474?

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 41461 and 41474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41461 and 41474, than apply into the LCM equation.

GCF(41461,41474) = 1
LCM(41461,41474) = ( 41461 × 41474) / 1
LCM(41461,41474) = 1719553514 / 1
LCM(41461,41474) = 1719553514

Least Common Multiple (LCM) of 41461 and 41474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41461 and 41474. First we will calculate the prime factors of 41461 and 41474.

Prime Factorization of 41461

Prime Factorization of 41474

Now multiplying the highest exponent prime factors to calculate the LCM of 41461 and 41474.

LCM(41461,41474) = 7¹ × 5923¹ × 2¹ × 89¹ × 233¹
LCM(41461,41474) = 1719553514