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What is the Least Common Multiple of 63673 and 63685?

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 63673 and 63685 is 4055015005.

LCM(63673,63685) = 4055015005

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Least Common Multiple of 63673 and 63685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63673 and 63685, than apply into the LCM equation.

GCF(63673,63685) = 1
LCM(63673,63685) = ( 63673 × 63685) / 1
LCM(63673,63685) = 4055015005 / 1
LCM(63673,63685) = 4055015005

Least Common Multiple (LCM) of 63673 and 63685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63673 and 63685. First we will calculate the prime factors of 63673 and 63685.

Prime Factorization of 63673

Prime factors of 63673 are 41, 1553. Prime factorization of 63673 in exponential form is:

63673 = 411 × 15531

Prime Factorization of 63685

Prime factors of 63685 are 5, 47, 271. Prime factorization of 63685 in exponential form is:

63685 = 51 × 471 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 63673 and 63685.

LCM(63673,63685) = 411 × 15531 × 51 × 471 × 2711
LCM(63673,63685) = 4055015005