GCF and LCM Calculator Logo

What is the Least Common Multiple of 56367 and 56374?

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 (LCM) of 56367 and 56374 is 3177633258.

LCM(56367,56374) = 3177633258

LCM Calculator and
and

Least Common Multiple of 56367 and 56374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56367 and 56374, than apply into the LCM equation.

GCF(56367,56374) = 1
LCM(56367,56374) = ( 56367 × 56374) / 1
LCM(56367,56374) = 3177633258 / 1
LCM(56367,56374) = 3177633258

Least Common Multiple (LCM) of 56367 and 56374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56367 and 56374. First we will calculate the prime factors of 56367 and 56374.

Prime Factorization of 56367

Prime factors of 56367 are 3, 6263. Prime factorization of 56367 in exponential form is:

56367 = 32 × 62631

Prime Factorization of 56374

Prime factors of 56374 are 2, 71, 397. Prime factorization of 56374 in exponential form is:

56374 = 21 × 711 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 56367 and 56374.

LCM(56367,56374) = 32 × 62631 × 21 × 711 × 3971
LCM(56367,56374) = 3177633258