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What is the Least Common Multiple of 63622 and 63641?

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 63622 and 63641 is 4048967702.

LCM(63622,63641) = 4048967702

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Least Common Multiple of 63622 and 63641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63622 and 63641, than apply into the LCM equation.

GCF(63622,63641) = 1
LCM(63622,63641) = ( 63622 × 63641) / 1
LCM(63622,63641) = 4048967702 / 1
LCM(63622,63641) = 4048967702

Least Common Multiple (LCM) of 63622 and 63641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63622 and 63641. First we will calculate the prime factors of 63622 and 63641.

Prime Factorization of 63622

Prime factors of 63622 are 2, 13, 2447. Prime factorization of 63622 in exponential form is:

63622 = 21 × 131 × 24471

Prime Factorization of 63641

Prime factors of 63641 are 23, 2767. Prime factorization of 63641 in exponential form is:

63641 = 231 × 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 63622 and 63641.

LCM(63622,63641) = 21 × 131 × 24471 × 231 × 27671
LCM(63622,63641) = 4048967702