GCF and LCM Calculator Logo

What is the Least Common Multiple of 56116 and 56134?

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 56116 and 56134 is 1575007772.

LCM(56116,56134) = 1575007772

LCM Calculator and
and

Least Common Multiple of 56116 and 56134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56116 and 56134, than apply into the LCM equation.

GCF(56116,56134) = 2
LCM(56116,56134) = ( 56116 × 56134) / 2
LCM(56116,56134) = 3150015544 / 2
LCM(56116,56134) = 1575007772

Least Common Multiple (LCM) of 56116 and 56134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56116 and 56134. First we will calculate the prime factors of 56116 and 56134.

Prime Factorization of 56116

Prime factors of 56116 are 2, 14029. Prime factorization of 56116 in exponential form is:

56116 = 22 × 140291

Prime Factorization of 56134

Prime factors of 56134 are 2, 13, 17, 127. Prime factorization of 56134 in exponential form is:

56134 = 21 × 131 × 171 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 56116 and 56134.

LCM(56116,56134) = 22 × 140291 × 131 × 171 × 1271
LCM(56116,56134) = 1575007772