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What is the Least Common Multiple of 78427 and 78437?

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 78427 and 78437 is 6151578599.

LCM(78427,78437) = 6151578599

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Least Common Multiple of 78427 and 78437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78427 and 78437, than apply into the LCM equation.

GCF(78427,78437) = 1
LCM(78427,78437) = ( 78427 × 78437) / 1
LCM(78427,78437) = 6151578599 / 1
LCM(78427,78437) = 6151578599

Least Common Multiple (LCM) of 78427 and 78437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78427 and 78437. First we will calculate the prime factors of 78427 and 78437.

Prime Factorization of 78427

Prime factors of 78427 are 78427. Prime factorization of 78427 in exponential form is:

78427 = 784271

Prime Factorization of 78437

Prime factors of 78437 are 78437. Prime factorization of 78437 in exponential form is:

78437 = 784371

Now multiplying the highest exponent prime factors to calculate the LCM of 78427 and 78437.

LCM(78427,78437) = 784271 × 784371
LCM(78427,78437) = 6151578599