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What is the Least Common Multiple of 54196 and 54215?

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 54196 and 54215 is 2938236140.

LCM(54196,54215) = 2938236140

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Least Common Multiple of 54196 and 54215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54196 and 54215, than apply into the LCM equation.

GCF(54196,54215) = 1
LCM(54196,54215) = ( 54196 × 54215) / 1
LCM(54196,54215) = 2938236140 / 1
LCM(54196,54215) = 2938236140

Least Common Multiple (LCM) of 54196 and 54215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54196 and 54215. First we will calculate the prime factors of 54196 and 54215.

Prime Factorization of 54196

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

54196 = 22 × 171 × 7971

Prime Factorization of 54215

Prime factors of 54215 are 5, 7, 1549. Prime factorization of 54215 in exponential form is:

54215 = 51 × 71 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 54196 and 54215.

LCM(54196,54215) = 22 × 171 × 7971 × 51 × 71 × 15491
LCM(54196,54215) = 2938236140