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What is the Least Common Multiple of 63727 and 63745?

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 63745 is 4062277615.

LCM(63727,63745) = 4062277615

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Least Common Multiple of 63727 and 63745 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 63745, than apply into the LCM equation.

GCF(63727,63745) = 1
LCM(63727,63745) = ( 63727 × 63745) / 1
LCM(63727,63745) = 4062277615 / 1
LCM(63727,63745) = 4062277615

Least Common Multiple (LCM) of 63727 and 63745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63727 and 63745. First we will calculate the prime factors of 63727 and 63745.

Prime Factorization of 63727

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

63727 = 637271

Prime Factorization of 63745

Prime factors of 63745 are 5, 11, 19, 61. Prime factorization of 63745 in exponential form is:

63745 = 51 × 111 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 63727 and 63745.

LCM(63727,63745) = 637271 × 51 × 111 × 191 × 611
LCM(63727,63745) = 4062277615