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What is the Least Common Multiple of 54457 and 54467?

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 54457 and 54467 is 2966109419.

LCM(54457,54467) = 2966109419

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Least Common Multiple of 54457 and 54467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54457 and 54467, than apply into the LCM equation.

GCF(54457,54467) = 1
LCM(54457,54467) = ( 54457 × 54467) / 1
LCM(54457,54467) = 2966109419 / 1
LCM(54457,54467) = 2966109419

Least Common Multiple (LCM) of 54457 and 54467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54457 and 54467. First we will calculate the prime factors of 54457 and 54467.

Prime Factorization of 54457

Prime factors of 54457 are 13, 59, 71. Prime factorization of 54457 in exponential form is:

54457 = 131 × 591 × 711

Prime Factorization of 54467

Prime factors of 54467 are 7, 31, 251. Prime factorization of 54467 in exponential form is:

54467 = 71 × 311 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 54457 and 54467.

LCM(54457,54467) = 131 × 591 × 711 × 71 × 311 × 2511
LCM(54457,54467) = 2966109419