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What is the Least Common Multiple of 77368 and 77384?

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 77384 is 748380664.

LCM(77368,77384) = 748380664

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Least Common Multiple of 77368 and 77384 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 77384, than apply into the LCM equation.

GCF(77368,77384) = 8
LCM(77368,77384) = ( 77368 × 77384) / 8
LCM(77368,77384) = 5987045312 / 8
LCM(77368,77384) = 748380664

Least Common Multiple (LCM) of 77368 and 77384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77368 and 77384. First we will calculate the prime factors of 77368 and 77384.

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 77384

Prime factors of 77384 are 2, 17, 569. Prime factorization of 77384 in exponential form is:

77384 = 23 × 171 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 77368 and 77384.

LCM(77368,77384) = 23 × 191 × 5091 × 171 × 5691
LCM(77368,77384) = 748380664