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What is the Least Common Multiple of 63044 and 63055?

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 63044 and 63055 is 3975239420.

LCM(63044,63055) = 3975239420

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Least Common Multiple of 63044 and 63055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63044 and 63055, than apply into the LCM equation.

GCF(63044,63055) = 1
LCM(63044,63055) = ( 63044 × 63055) / 1
LCM(63044,63055) = 3975239420 / 1
LCM(63044,63055) = 3975239420

Least Common Multiple (LCM) of 63044 and 63055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63044 and 63055. First we will calculate the prime factors of 63044 and 63055.

Prime Factorization of 63044

Prime factors of 63044 are 2, 15761. Prime factorization of 63044 in exponential form is:

63044 = 22 × 157611

Prime Factorization of 63055

Prime factors of 63055 are 5, 12611. Prime factorization of 63055 in exponential form is:

63055 = 51 × 126111

Now multiplying the highest exponent prime factors to calculate the LCM of 63044 and 63055.

LCM(63044,63055) = 22 × 157611 × 51 × 126111
LCM(63044,63055) = 3975239420