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What is the Least Common Multiple of 63147 and 63151?

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 63147 and 63151 is 3987796197.

LCM(63147,63151) = 3987796197

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Least Common Multiple of 63147 and 63151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63147 and 63151, than apply into the LCM equation.

GCF(63147,63151) = 1
LCM(63147,63151) = ( 63147 × 63151) / 1
LCM(63147,63151) = 3987796197 / 1
LCM(63147,63151) = 3987796197

Least Common Multiple (LCM) of 63147 and 63151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63147 and 63151. First we will calculate the prime factors of 63147 and 63151.

Prime Factorization of 63147

Prime factors of 63147 are 3, 7, 31, 97. Prime factorization of 63147 in exponential form is:

63147 = 31 × 71 × 311 × 971

Prime Factorization of 63151

Prime factors of 63151 are 11, 5741. Prime factorization of 63151 in exponential form is:

63151 = 111 × 57411

Now multiplying the highest exponent prime factors to calculate the LCM of 63147 and 63151.

LCM(63147,63151) = 31 × 71 × 311 × 971 × 111 × 57411
LCM(63147,63151) = 3987796197