What is the Least Common Multiple of 56374 and 56384?

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 56374 and 56384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56374 and 56384, than apply into the LCM equation.

GCF(56374,56384) = 2
LCM(56374,56384) = ( 56374 × 56384) / 2
LCM(56374,56384) = 3178591616 / 2
LCM(56374,56384) = 1589295808

Least Common Multiple (LCM) of 56374 and 56384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56374 and 56384. First we will calculate the prime factors of 56374 and 56384.

Prime Factorization of 56374

Prime Factorization of 56384

Now multiplying the highest exponent prime factors to calculate the LCM of 56374 and 56384.

LCM(56374,56384) = 2⁶ × 71¹ × 397¹ × 881¹
LCM(56374,56384) = 1589295808