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What is the Least Common Multiple of 63148 and 63159?

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 63148 and 63159 is 3988364532.

LCM(63148,63159) = 3988364532

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Least Common Multiple of 63148 and 63159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63148 and 63159, than apply into the LCM equation.

GCF(63148,63159) = 1
LCM(63148,63159) = ( 63148 × 63159) / 1
LCM(63148,63159) = 3988364532 / 1
LCM(63148,63159) = 3988364532

Least Common Multiple (LCM) of 63148 and 63159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63148 and 63159. First we will calculate the prime factors of 63148 and 63159.

Prime Factorization of 63148

Prime factors of 63148 are 2, 15787. Prime factorization of 63148 in exponential form is:

63148 = 22 × 157871

Prime Factorization of 63159

Prime factors of 63159 are 3, 37, 569. Prime factorization of 63159 in exponential form is:

63159 = 31 × 371 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 63148 and 63159.

LCM(63148,63159) = 22 × 157871 × 31 × 371 × 5691
LCM(63148,63159) = 3988364532