What is the Least Common Multiple of 54378 and 54398?

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 54378 and 54398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54378 and 54398, than apply into the LCM equation.

GCF(54378,54398) = 2
LCM(54378,54398) = ( 54378 × 54398) / 2
LCM(54378,54398) = 2958054444 / 2
LCM(54378,54398) = 1479027222

Least Common Multiple (LCM) of 54378 and 54398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54378 and 54398. First we will calculate the prime factors of 54378 and 54398.

Prime Factorization of 54378

Prime Factorization of 54398

Now multiplying the highest exponent prime factors to calculate the LCM of 54378 and 54398.

LCM(54378,54398) = 2¹ × 3³ × 19¹ × 53¹ × 59¹ × 461¹
LCM(54378,54398) = 1479027222