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What is the Least Common Multiple of 63442 and 63457?

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 63442 and 63457 is 4025838994.

LCM(63442,63457) = 4025838994

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Least Common Multiple of 63442 and 63457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63442 and 63457, than apply into the LCM equation.

GCF(63442,63457) = 1
LCM(63442,63457) = ( 63442 × 63457) / 1
LCM(63442,63457) = 4025838994 / 1
LCM(63442,63457) = 4025838994

Least Common Multiple (LCM) of 63442 and 63457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63442 and 63457. First we will calculate the prime factors of 63442 and 63457.

Prime Factorization of 63442

Prime factors of 63442 are 2, 31721. Prime factorization of 63442 in exponential form is:

63442 = 21 × 317211

Prime Factorization of 63457

Prime factors of 63457 are 23, 31, 89. Prime factorization of 63457 in exponential form is:

63457 = 231 × 311 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 63442 and 63457.

LCM(63442,63457) = 21 × 317211 × 231 × 311 × 891
LCM(63442,63457) = 4025838994