What is the Least Common Multiple of 45384 and 45398?

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 45384 and 45398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45384 and 45398, than apply into the LCM equation.

GCF(45384,45398) = 2
LCM(45384,45398) = ( 45384 × 45398) / 2
LCM(45384,45398) = 2060342832 / 2
LCM(45384,45398) = 1030171416

Least Common Multiple (LCM) of 45384 and 45398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45384 and 45398. First we will calculate the prime factors of 45384 and 45398.

Prime Factorization of 45384

Prime Factorization of 45398

Now multiplying the highest exponent prime factors to calculate the LCM of 45384 and 45398.

LCM(45384,45398) = 2³ × 3¹ × 31¹ × 61¹ × 22699¹
LCM(45384,45398) = 1030171416