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What is the Least Common Multiple of 62987 and 63005?

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 62987 and 63005 is 3968495935.

LCM(62987,63005) = 3968495935

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Least Common Multiple of 62987 and 63005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62987 and 63005, than apply into the LCM equation.

GCF(62987,63005) = 1
LCM(62987,63005) = ( 62987 × 63005) / 1
LCM(62987,63005) = 3968495935 / 1
LCM(62987,63005) = 3968495935

Least Common Multiple (LCM) of 62987 and 63005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62987 and 63005. First we will calculate the prime factors of 62987 and 63005.

Prime Factorization of 62987

Prime factors of 62987 are 62987. Prime factorization of 62987 in exponential form is:

62987 = 629871

Prime Factorization of 63005

Prime factors of 63005 are 5, 12601. Prime factorization of 63005 in exponential form is:

63005 = 51 × 126011

Now multiplying the highest exponent prime factors to calculate the LCM of 62987 and 63005.

LCM(62987,63005) = 629871 × 51 × 126011
LCM(62987,63005) = 3968495935