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What is the Least Common Multiple of 77453 and 77459?

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 77453 and 77459 is 5999431927.

LCM(77453,77459) = 5999431927

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Least Common Multiple of 77453 and 77459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77453 and 77459, than apply into the LCM equation.

GCF(77453,77459) = 1
LCM(77453,77459) = ( 77453 × 77459) / 1
LCM(77453,77459) = 5999431927 / 1
LCM(77453,77459) = 5999431927

Least Common Multiple (LCM) of 77453 and 77459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77453 and 77459. First we will calculate the prime factors of 77453 and 77459.

Prime Factorization of 77453

Prime factors of 77453 are 73, 1061. Prime factorization of 77453 in exponential form is:

77453 = 731 × 10611

Prime Factorization of 77459

Prime factors of 77459 are 29, 2671. Prime factorization of 77459 in exponential form is:

77459 = 291 × 26711

Now multiplying the highest exponent prime factors to calculate the LCM of 77453 and 77459.

LCM(77453,77459) = 731 × 10611 × 291 × 26711
LCM(77453,77459) = 5999431927