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What is the Least Common Multiple of 76390 and 76402?

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 76390 and 76402 is 2918174390.

LCM(76390,76402) = 2918174390

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Least Common Multiple of 76390 and 76402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76390 and 76402, than apply into the LCM equation.

GCF(76390,76402) = 2
LCM(76390,76402) = ( 76390 × 76402) / 2
LCM(76390,76402) = 5836348780 / 2
LCM(76390,76402) = 2918174390

Least Common Multiple (LCM) of 76390 and 76402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76390 and 76402. First we will calculate the prime factors of 76390 and 76402.

Prime Factorization of 76390

Prime factors of 76390 are 2, 5, 7639. Prime factorization of 76390 in exponential form is:

76390 = 21 × 51 × 76391

Prime Factorization of 76402

Prime factors of 76402 are 2, 38201. Prime factorization of 76402 in exponential form is:

76402 = 21 × 382011

Now multiplying the highest exponent prime factors to calculate the LCM of 76390 and 76402.

LCM(76390,76402) = 21 × 51 × 76391 × 382011
LCM(76390,76402) = 2918174390