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What is the Least Common Multiple of 78482 and 78497?

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 78482 and 78497 is 6160601554.

LCM(78482,78497) = 6160601554

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Least Common Multiple of 78482 and 78497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78482 and 78497, than apply into the LCM equation.

GCF(78482,78497) = 1
LCM(78482,78497) = ( 78482 × 78497) / 1
LCM(78482,78497) = 6160601554 / 1
LCM(78482,78497) = 6160601554

Least Common Multiple (LCM) of 78482 and 78497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78482 and 78497. First we will calculate the prime factors of 78482 and 78497.

Prime Factorization of 78482

Prime factors of 78482 are 2, 39241. Prime factorization of 78482 in exponential form is:

78482 = 21 × 392411

Prime Factorization of 78497

Prime factors of 78497 are 78497. Prime factorization of 78497 in exponential form is:

78497 = 784971

Now multiplying the highest exponent prime factors to calculate the LCM of 78482 and 78497.

LCM(78482,78497) = 21 × 392411 × 784971
LCM(78482,78497) = 6160601554