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What is the Least Common Multiple of 77345 and 77354?

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 77345 and 77354 is 5982945130.

LCM(77345,77354) = 5982945130

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Least Common Multiple of 77345 and 77354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77345 and 77354, than apply into the LCM equation.

GCF(77345,77354) = 1
LCM(77345,77354) = ( 77345 × 77354) / 1
LCM(77345,77354) = 5982945130 / 1
LCM(77345,77354) = 5982945130

Least Common Multiple (LCM) of 77345 and 77354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77345 and 77354. First we will calculate the prime factors of 77345 and 77354.

Prime Factorization of 77345

Prime factors of 77345 are 5, 31, 499. Prime factorization of 77345 in exponential form is:

77345 = 51 × 311 × 4991

Prime Factorization of 77354

Prime factors of 77354 are 2, 38677. Prime factorization of 77354 in exponential form is:

77354 = 21 × 386771

Now multiplying the highest exponent prime factors to calculate the LCM of 77345 and 77354.

LCM(77345,77354) = 51 × 311 × 4991 × 21 × 386771
LCM(77345,77354) = 5982945130