What is the Least Common Multiple of 41498 and 41509?

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 41498 and 41509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41498 and 41509, than apply into the LCM equation.

GCF(41498,41509) = 1
LCM(41498,41509) = ( 41498 × 41509) / 1
LCM(41498,41509) = 1722540482 / 1
LCM(41498,41509) = 1722540482

Least Common Multiple (LCM) of 41498 and 41509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41498 and 41509. First we will calculate the prime factors of 41498 and 41509.

Prime Factorization of 41498

Prime Factorization of 41509

Now multiplying the highest exponent prime factors to calculate the LCM of 41498 and 41509.

LCM(41498,41509) = 2¹ × 20749¹ × 13¹ × 31¹ × 103¹
LCM(41498,41509) = 1722540482