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What is the Least Common Multiple of 63662 and 63671?

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 63662 and 63671 is 4053423202.

LCM(63662,63671) = 4053423202

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Least Common Multiple of 63662 and 63671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63662 and 63671, than apply into the LCM equation.

GCF(63662,63671) = 1
LCM(63662,63671) = ( 63662 × 63671) / 1
LCM(63662,63671) = 4053423202 / 1
LCM(63662,63671) = 4053423202

Least Common Multiple (LCM) of 63662 and 63671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63662 and 63671. First we will calculate the prime factors of 63662 and 63671.

Prime Factorization of 63662

Prime factors of 63662 are 2, 139, 229. Prime factorization of 63662 in exponential form is:

63662 = 21 × 1391 × 2291

Prime Factorization of 63671

Prime factors of 63671 are 63671. Prime factorization of 63671 in exponential form is:

63671 = 636711

Now multiplying the highest exponent prime factors to calculate the LCM of 63662 and 63671.

LCM(63662,63671) = 21 × 1391 × 2291 × 636711
LCM(63662,63671) = 4053423202