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What is the Least Common Multiple of 31159 and 31177?

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 31159 and 31177 is 971444143.

LCM(31159,31177) = 971444143

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Least Common Multiple of 31159 and 31177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31159 and 31177, than apply into the LCM equation.

GCF(31159,31177) = 1
LCM(31159,31177) = ( 31159 × 31177) / 1
LCM(31159,31177) = 971444143 / 1
LCM(31159,31177) = 971444143

Least Common Multiple (LCM) of 31159 and 31177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31159 and 31177. First we will calculate the prime factors of 31159 and 31177.

Prime Factorization of 31159

Prime factors of 31159 are 31159. Prime factorization of 31159 in exponential form is:

31159 = 311591

Prime Factorization of 31177

Prime factors of 31177 are 31177. Prime factorization of 31177 in exponential form is:

31177 = 311771

Now multiplying the highest exponent prime factors to calculate the LCM of 31159 and 31177.

LCM(31159,31177) = 311591 × 311771
LCM(31159,31177) = 971444143