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What is the Least Common Multiple of 63095 and 63115?

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 63095 and 63115 is 796448185.

LCM(63095,63115) = 796448185

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Least Common Multiple of 63095 and 63115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63095 and 63115, than apply into the LCM equation.

GCF(63095,63115) = 5
LCM(63095,63115) = ( 63095 × 63115) / 5
LCM(63095,63115) = 3982240925 / 5
LCM(63095,63115) = 796448185

Least Common Multiple (LCM) of 63095 and 63115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63095 and 63115. First we will calculate the prime factors of 63095 and 63115.

Prime Factorization of 63095

Prime factors of 63095 are 5, 12619. Prime factorization of 63095 in exponential form is:

63095 = 51 × 126191

Prime Factorization of 63115

Prime factors of 63115 are 5, 13, 971. Prime factorization of 63115 in exponential form is:

63115 = 51 × 131 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 63095 and 63115.

LCM(63095,63115) = 51 × 126191 × 131 × 9711
LCM(63095,63115) = 796448185