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What is the Least Common Multiple of 61373 and 61381?

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 61373 and 61381 is 3767136113.

LCM(61373,61381) = 3767136113

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Least Common Multiple of 61373 and 61381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61373 and 61381, than apply into the LCM equation.

GCF(61373,61381) = 1
LCM(61373,61381) = ( 61373 × 61381) / 1
LCM(61373,61381) = 3767136113 / 1
LCM(61373,61381) = 3767136113

Least Common Multiple (LCM) of 61373 and 61381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61373 and 61381. First we will calculate the prime factors of 61373 and 61381.

Prime Factorization of 61373

Prime factors of 61373 are 13, 4721. Prime factorization of 61373 in exponential form is:

61373 = 131 × 47211

Prime Factorization of 61381

Prime factors of 61381 are 61381. Prime factorization of 61381 in exponential form is:

61381 = 613811

Now multiplying the highest exponent prime factors to calculate the LCM of 61373 and 61381.

LCM(61373,61381) = 131 × 47211 × 613811
LCM(61373,61381) = 3767136113