GCF and LCM Calculator Logo

What is the Least Common Multiple of 5178 and 5182?

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 5178 and 5182 is 13416198.

LCM(5178,5182) = 13416198

LCM Calculator and
and

Least Common Multiple of 5178 and 5182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5178 and 5182, than apply into the LCM equation.

GCF(5178,5182) = 2
LCM(5178,5182) = ( 5178 × 5182) / 2
LCM(5178,5182) = 26832396 / 2
LCM(5178,5182) = 13416198

Least Common Multiple (LCM) of 5178 and 5182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5178 and 5182. First we will calculate the prime factors of 5178 and 5182.

Prime Factorization of 5178

Prime factors of 5178 are 2, 3, 863. Prime factorization of 5178 in exponential form is:

5178 = 21 × 31 × 8631

Prime Factorization of 5182

Prime factors of 5182 are 2, 2591. Prime factorization of 5182 in exponential form is:

5182 = 21 × 25911

Now multiplying the highest exponent prime factors to calculate the LCM of 5178 and 5182.

LCM(5178,5182) = 21 × 31 × 8631 × 25911
LCM(5178,5182) = 13416198