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What is the Least Common Multiple of 54191 and 54200?

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 54191 and 54200 is 2937152200.

LCM(54191,54200) = 2937152200

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Least Common Multiple of 54191 and 54200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54191 and 54200, than apply into the LCM equation.

GCF(54191,54200) = 1
LCM(54191,54200) = ( 54191 × 54200) / 1
LCM(54191,54200) = 2937152200 / 1
LCM(54191,54200) = 2937152200

Least Common Multiple (LCM) of 54191 and 54200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54191 and 54200. First we will calculate the prime factors of 54191 and 54200.

Prime Factorization of 54191

Prime factors of 54191 are 47, 1153. Prime factorization of 54191 in exponential form is:

54191 = 471 × 11531

Prime Factorization of 54200

Prime factors of 54200 are 2, 5, 271. Prime factorization of 54200 in exponential form is:

54200 = 23 × 52 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 54191 and 54200.

LCM(54191,54200) = 471 × 11531 × 23 × 52 × 2711
LCM(54191,54200) = 2937152200