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What is the Least Common Multiple of 54358 and 54370?

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 54358 and 54370 is 1477722230.

LCM(54358,54370) = 1477722230

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Least Common Multiple of 54358 and 54370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54358 and 54370, than apply into the LCM equation.

GCF(54358,54370) = 2
LCM(54358,54370) = ( 54358 × 54370) / 2
LCM(54358,54370) = 2955444460 / 2
LCM(54358,54370) = 1477722230

Least Common Multiple (LCM) of 54358 and 54370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54358 and 54370. First we will calculate the prime factors of 54358 and 54370.

Prime Factorization of 54358

Prime factors of 54358 are 2, 27179. Prime factorization of 54358 in exponential form is:

54358 = 21 × 271791

Prime Factorization of 54370

Prime factors of 54370 are 2, 5, 5437. Prime factorization of 54370 in exponential form is:

54370 = 21 × 51 × 54371

Now multiplying the highest exponent prime factors to calculate the LCM of 54358 and 54370.

LCM(54358,54370) = 21 × 271791 × 51 × 54371
LCM(54358,54370) = 1477722230