What is the Least Common Multiple of 44479 and 44498?

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 44479 and 44498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44479 and 44498, than apply into the LCM equation.

GCF(44479,44498) = 19
LCM(44479,44498) = ( 44479 × 44498) / 19
LCM(44479,44498) = 1979226542 / 19
LCM(44479,44498) = 104169818

Least Common Multiple (LCM) of 44479 and 44498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44479 and 44498. First we will calculate the prime factors of 44479 and 44498.

Prime Factorization of 44479

Prime Factorization of 44498

Now multiplying the highest exponent prime factors to calculate the LCM of 44479 and 44498.

LCM(44479,44498) = 19¹ × 2341¹ × 2¹ × 1171¹
LCM(44479,44498) = 104169818