What is the Least Common Multiple of 41458 and 41465?

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 41465 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 41465, than apply into the LCM equation.

GCF(41458,41465) = 1
LCM(41458,41465) = ( 41458 × 41465) / 1
LCM(41458,41465) = 1719055970 / 1
LCM(41458,41465) = 1719055970

Least Common Multiple (LCM) of 41458 and 41465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41458 and 41465. First we will calculate the prime factors of 41458 and 41465.

Prime Factorization of 41458

Prime Factorization of 41465

Now multiplying the highest exponent prime factors to calculate the LCM of 41458 and 41465.

LCM(41458,41465) = 2¹ × 19¹ × 1091¹ × 5¹ × 8293¹
LCM(41458,41465) = 1719055970