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What is the Least Common Multiple of 63022 and 63029?

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 63022 and 63029 is 3972213638.

LCM(63022,63029) = 3972213638

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Least Common Multiple of 63022 and 63029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63022 and 63029, than apply into the LCM equation.

GCF(63022,63029) = 1
LCM(63022,63029) = ( 63022 × 63029) / 1
LCM(63022,63029) = 3972213638 / 1
LCM(63022,63029) = 3972213638

Least Common Multiple (LCM) of 63022 and 63029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63022 and 63029. First we will calculate the prime factors of 63022 and 63029.

Prime Factorization of 63022

Prime factors of 63022 are 2, 31511. Prime factorization of 63022 in exponential form is:

63022 = 21 × 315111

Prime Factorization of 63029

Prime factors of 63029 are 63029. Prime factorization of 63029 in exponential form is:

63029 = 630291

Now multiplying the highest exponent prime factors to calculate the LCM of 63022 and 63029.

LCM(63022,63029) = 21 × 315111 × 630291
LCM(63022,63029) = 3972213638