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What is the Least Common Multiple of 54374 and 54385?

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 54374 and 54385 is 2957129990.

LCM(54374,54385) = 2957129990

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Least Common Multiple of 54374 and 54385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54374 and 54385, than apply into the LCM equation.

GCF(54374,54385) = 1
LCM(54374,54385) = ( 54374 × 54385) / 1
LCM(54374,54385) = 2957129990 / 1
LCM(54374,54385) = 2957129990

Least Common Multiple (LCM) of 54374 and 54385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54374 and 54385. First we will calculate the prime factors of 54374 and 54385.

Prime Factorization of 54374

Prime factors of 54374 are 2, 31, 877. Prime factorization of 54374 in exponential form is:

54374 = 21 × 311 × 8771

Prime Factorization of 54385

Prime factors of 54385 are 5, 73, 149. Prime factorization of 54385 in exponential form is:

54385 = 51 × 731 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 54374 and 54385.

LCM(54374,54385) = 21 × 311 × 8771 × 51 × 731 × 1491
LCM(54374,54385) = 2957129990