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What is the Least Common Multiple of 52691 and 52702?

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 52691 and 52702 is 2776921082.

LCM(52691,52702) = 2776921082

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Least Common Multiple of 52691 and 52702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52691 and 52702, than apply into the LCM equation.

GCF(52691,52702) = 1
LCM(52691,52702) = ( 52691 × 52702) / 1
LCM(52691,52702) = 2776921082 / 1
LCM(52691,52702) = 2776921082

Least Common Multiple (LCM) of 52691 and 52702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52691 and 52702. First we will calculate the prime factors of 52691 and 52702.

Prime Factorization of 52691

Prime factors of 52691 are 52691. Prime factorization of 52691 in exponential form is:

52691 = 526911

Prime Factorization of 52702

Prime factors of 52702 are 2, 13, 2027. Prime factorization of 52702 in exponential form is:

52702 = 21 × 131 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 52691 and 52702.

LCM(52691,52702) = 526911 × 21 × 131 × 20271
LCM(52691,52702) = 2776921082