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What is the Least Common Multiple of 54188 and 54196?

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 54188 and 54196 is 734193212.

LCM(54188,54196) = 734193212

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Least Common Multiple of 54188 and 54196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54188 and 54196, than apply into the LCM equation.

GCF(54188,54196) = 4
LCM(54188,54196) = ( 54188 × 54196) / 4
LCM(54188,54196) = 2936772848 / 4
LCM(54188,54196) = 734193212

Least Common Multiple (LCM) of 54188 and 54196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54188 and 54196. First we will calculate the prime factors of 54188 and 54196.

Prime Factorization of 54188

Prime factors of 54188 are 2, 19, 23, 31. Prime factorization of 54188 in exponential form is:

54188 = 22 × 191 × 231 × 311

Prime Factorization of 54196

Prime factors of 54196 are 2, 17, 797. Prime factorization of 54196 in exponential form is:

54196 = 22 × 171 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 54188 and 54196.

LCM(54188,54196) = 22 × 191 × 231 × 311 × 171 × 7971
LCM(54188,54196) = 734193212