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What is the Least Common Multiple of 63444 and 63455?

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 63444 and 63455 is 4025839020.

LCM(63444,63455) = 4025839020

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Least Common Multiple of 63444 and 63455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63444 and 63455, than apply into the LCM equation.

GCF(63444,63455) = 1
LCM(63444,63455) = ( 63444 × 63455) / 1
LCM(63444,63455) = 4025839020 / 1
LCM(63444,63455) = 4025839020

Least Common Multiple (LCM) of 63444 and 63455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63444 and 63455. First we will calculate the prime factors of 63444 and 63455.

Prime Factorization of 63444

Prime factors of 63444 are 2, 3, 17, 311. Prime factorization of 63444 in exponential form is:

63444 = 22 × 31 × 171 × 3111

Prime Factorization of 63455

Prime factors of 63455 are 5, 7, 37. Prime factorization of 63455 in exponential form is:

63455 = 51 × 73 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 63444 and 63455.

LCM(63444,63455) = 22 × 31 × 171 × 3111 × 51 × 73 × 371
LCM(63444,63455) = 4025839020