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What is the Least Common Multiple of 63727 and 63739?

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 63727 and 63739 is 4061895253.

LCM(63727,63739) = 4061895253

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Least Common Multiple of 63727 and 63739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63727 and 63739, than apply into the LCM equation.

GCF(63727,63739) = 1
LCM(63727,63739) = ( 63727 × 63739) / 1
LCM(63727,63739) = 4061895253 / 1
LCM(63727,63739) = 4061895253

Least Common Multiple (LCM) of 63727 and 63739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63727 and 63739. First we will calculate the prime factors of 63727 and 63739.

Prime Factorization of 63727

Prime factors of 63727 are 63727. Prime factorization of 63727 in exponential form is:

63727 = 637271

Prime Factorization of 63739

Prime factors of 63739 are 13, 4903. Prime factorization of 63739 in exponential form is:

63739 = 131 × 49031

Now multiplying the highest exponent prime factors to calculate the LCM of 63727 and 63739.

LCM(63727,63739) = 637271 × 131 × 49031
LCM(63727,63739) = 4061895253