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What is the Least Common Multiple of 63133 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 63133 and 63151 is 3986912083.

LCM(63133,63151) = 3986912083

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Least Common Multiple of 63133 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 63133 and 63151, than apply into the LCM equation.

GCF(63133,63151) = 1
LCM(63133,63151) = ( 63133 × 63151) / 1
LCM(63133,63151) = 3986912083 / 1
LCM(63133,63151) = 3986912083

Least Common Multiple (LCM) of 63133 and 63151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63133 and 63151. First we will calculate the prime factors of 63133 and 63151.

Prime Factorization of 63133

Prime factors of 63133 are 7, 29, 311. Prime factorization of 63133 in exponential form is:

63133 = 71 × 291 × 3111

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 63133 and 63151.

LCM(63133,63151) = 71 × 291 × 3111 × 111 × 57411
LCM(63133,63151) = 3986912083