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What is the Least Common Multiple of 48427 and 48444?

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 48427 and 48444 is 2345997588.

LCM(48427,48444) = 2345997588

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Least Common Multiple of 48427 and 48444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48427 and 48444, than apply into the LCM equation.

GCF(48427,48444) = 1
LCM(48427,48444) = ( 48427 × 48444) / 1
LCM(48427,48444) = 2345997588 / 1
LCM(48427,48444) = 2345997588

Least Common Multiple (LCM) of 48427 and 48444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48427 and 48444. First we will calculate the prime factors of 48427 and 48444.

Prime Factorization of 48427

Prime factors of 48427 are 79, 613. Prime factorization of 48427 in exponential form is:

48427 = 791 × 6131

Prime Factorization of 48444

Prime factors of 48444 are 2, 3, 11, 367. Prime factorization of 48444 in exponential form is:

48444 = 22 × 31 × 111 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 48427 and 48444.

LCM(48427,48444) = 791 × 6131 × 22 × 31 × 111 × 3671
LCM(48427,48444) = 2345997588