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What is the Least Common Multiple of 51671 and 51677?

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 51671 and 51677 is 2670202267.

LCM(51671,51677) = 2670202267

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Least Common Multiple of 51671 and 51677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51671 and 51677, than apply into the LCM equation.

GCF(51671,51677) = 1
LCM(51671,51677) = ( 51671 × 51677) / 1
LCM(51671,51677) = 2670202267 / 1
LCM(51671,51677) = 2670202267

Least Common Multiple (LCM) of 51671 and 51677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51671 and 51677. First we will calculate the prime factors of 51671 and 51677.

Prime Factorization of 51671

Prime factors of 51671 are 163, 317. Prime factorization of 51671 in exponential form is:

51671 = 1631 × 3171

Prime Factorization of 51677

Prime factors of 51677 are 31, 1667. Prime factorization of 51677 in exponential form is:

51677 = 311 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 51671 and 51677.

LCM(51671,51677) = 1631 × 3171 × 311 × 16671
LCM(51671,51677) = 2670202267