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What is the Least Common Multiple of 63039 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 63039 and 63055 is 3974924145.

LCM(63039,63055) = 3974924145

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Least Common Multiple of 63039 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 63039 and 63055, than apply into the LCM equation.

GCF(63039,63055) = 1
LCM(63039,63055) = ( 63039 × 63055) / 1
LCM(63039,63055) = 3974924145 / 1
LCM(63039,63055) = 3974924145

Least Common Multiple (LCM) of 63039 and 63055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63039 and 63055. First we will calculate the prime factors of 63039 and 63055.

Prime Factorization of 63039

Prime factors of 63039 are 3, 21013. Prime factorization of 63039 in exponential form is:

63039 = 31 × 210131

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 63039 and 63055.

LCM(63039,63055) = 31 × 210131 × 51 × 126111
LCM(63039,63055) = 3974924145