What is the Least Common Multiple of 54368 and 54374?

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 54368 and 54374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54368 and 54374, than apply into the LCM equation.

GCF(54368,54374) = 2
LCM(54368,54374) = ( 54368 × 54374) / 2
LCM(54368,54374) = 2956205632 / 2
LCM(54368,54374) = 1478102816

Least Common Multiple (LCM) of 54368 and 54374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54368 and 54374. First we will calculate the prime factors of 54368 and 54374.

Prime Factorization of 54368

Prime Factorization of 54374

Now multiplying the highest exponent prime factors to calculate the LCM of 54368 and 54374.

LCM(54368,54374) = 2⁵ × 1699¹ × 31¹ × 877¹
LCM(54368,54374) = 1478102816