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What is the Least Common Multiple of 54638 and 54645?

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 54638 and 54645 is 2985693510.

LCM(54638,54645) = 2985693510

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Least Common Multiple of 54638 and 54645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54638 and 54645, than apply into the LCM equation.

GCF(54638,54645) = 1
LCM(54638,54645) = ( 54638 × 54645) / 1
LCM(54638,54645) = 2985693510 / 1
LCM(54638,54645) = 2985693510

Least Common Multiple (LCM) of 54638 and 54645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54638 and 54645. First we will calculate the prime factors of 54638 and 54645.

Prime Factorization of 54638

Prime factors of 54638 are 2, 17, 1607. Prime factorization of 54638 in exponential form is:

54638 = 21 × 171 × 16071

Prime Factorization of 54645

Prime factors of 54645 are 3, 5, 3643. Prime factorization of 54645 in exponential form is:

54645 = 31 × 51 × 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 54638 and 54645.

LCM(54638,54645) = 21 × 171 × 16071 × 31 × 51 × 36431
LCM(54638,54645) = 2985693510