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What is the Least Common Multiple of 63430 and 63437?

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 63430 and 63437 is 4023808910.

LCM(63430,63437) = 4023808910

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Least Common Multiple of 63430 and 63437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63430 and 63437, than apply into the LCM equation.

GCF(63430,63437) = 1
LCM(63430,63437) = ( 63430 × 63437) / 1
LCM(63430,63437) = 4023808910 / 1
LCM(63430,63437) = 4023808910

Least Common Multiple (LCM) of 63430 and 63437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63430 and 63437. First we will calculate the prime factors of 63430 and 63437.

Prime Factorization of 63430

Prime factors of 63430 are 2, 5, 6343. Prime factorization of 63430 in exponential form is:

63430 = 21 × 51 × 63431

Prime Factorization of 63437

Prime factors of 63437 are 11, 73, 79. Prime factorization of 63437 in exponential form is:

63437 = 111 × 731 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 63430 and 63437.

LCM(63430,63437) = 21 × 51 × 63431 × 111 × 731 × 791
LCM(63430,63437) = 4023808910