GCF and LCM Calculator Logo

What is the Least Common Multiple of 56364 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 56364 and 56374 is 1588732068.

LCM(56364,56374) = 1588732068

LCM Calculator and
and

Least Common Multiple of 56364 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 56364 and 56374, than apply into the LCM equation.

GCF(56364,56374) = 2
LCM(56364,56374) = ( 56364 × 56374) / 2
LCM(56364,56374) = 3177464136 / 2
LCM(56364,56374) = 1588732068

Least Common Multiple (LCM) of 56364 and 56374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56364 and 56374. First we will calculate the prime factors of 56364 and 56374.

Prime Factorization of 56364

Prime factors of 56364 are 2, 3, 7, 11, 61. Prime factorization of 56364 in exponential form is:

56364 = 22 × 31 × 71 × 111 × 611

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 56364 and 56374.

LCM(56364,56374) = 22 × 31 × 71 × 111 × 611 × 711 × 3971
LCM(56364,56374) = 1588732068