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What is the Least Common Multiple of 71137 and 71157?

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 71137 and 71157 is 5061895509.

LCM(71137,71157) = 5061895509

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Least Common Multiple of 71137 and 71157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71137 and 71157, than apply into the LCM equation.

GCF(71137,71157) = 1
LCM(71137,71157) = ( 71137 × 71157) / 1
LCM(71137,71157) = 5061895509 / 1
LCM(71137,71157) = 5061895509

Least Common Multiple (LCM) of 71137 and 71157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71137 and 71157. First we will calculate the prime factors of 71137 and 71157.

Prime Factorization of 71137

Prime factors of 71137 are 11, 29, 223. Prime factorization of 71137 in exponential form is:

71137 = 111 × 291 × 2231

Prime Factorization of 71157

Prime factors of 71157 are 3, 23719. Prime factorization of 71157 in exponential form is:

71157 = 31 × 237191

Now multiplying the highest exponent prime factors to calculate the LCM of 71137 and 71157.

LCM(71137,71157) = 111 × 291 × 2231 × 31 × 237191
LCM(71137,71157) = 5061895509