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What is the Least Common Multiple of 54370 and 54388?

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 54370 and 54388 is 1478537780.

LCM(54370,54388) = 1478537780

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Least Common Multiple of 54370 and 54388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54370 and 54388, than apply into the LCM equation.

GCF(54370,54388) = 2
LCM(54370,54388) = ( 54370 × 54388) / 2
LCM(54370,54388) = 2957075560 / 2
LCM(54370,54388) = 1478537780

Least Common Multiple (LCM) of 54370 and 54388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54370 and 54388. First we will calculate the prime factors of 54370 and 54388.

Prime Factorization of 54370

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

54370 = 21 × 51 × 54371

Prime Factorization of 54388

Prime factors of 54388 are 2, 13597. Prime factorization of 54388 in exponential form is:

54388 = 22 × 135971

Now multiplying the highest exponent prime factors to calculate the LCM of 54370 and 54388.

LCM(54370,54388) = 22 × 51 × 54371 × 135971
LCM(54370,54388) = 1478537780