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What is the Least Common Multiple of 77368 and 77387?

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 77368 and 77387 is 315119864.

LCM(77368,77387) = 315119864

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Least Common Multiple of 77368 and 77387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77368 and 77387, than apply into the LCM equation.

GCF(77368,77387) = 19
LCM(77368,77387) = ( 77368 × 77387) / 19
LCM(77368,77387) = 5987277416 / 19
LCM(77368,77387) = 315119864

Least Common Multiple (LCM) of 77368 and 77387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77368 and 77387. First we will calculate the prime factors of 77368 and 77387.

Prime Factorization of 77368

Prime factors of 77368 are 2, 19, 509. Prime factorization of 77368 in exponential form is:

77368 = 23 × 191 × 5091

Prime Factorization of 77387

Prime factors of 77387 are 19, 4073. Prime factorization of 77387 in exponential form is:

77387 = 191 × 40731

Now multiplying the highest exponent prime factors to calculate the LCM of 77368 and 77387.

LCM(77368,77387) = 23 × 191 × 5091 × 40731
LCM(77368,77387) = 315119864