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What is the Least Common Multiple of 77278 and 77297?

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 77278 and 77297 is 5973357566.

LCM(77278,77297) = 5973357566

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Least Common Multiple of 77278 and 77297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77278 and 77297, than apply into the LCM equation.

GCF(77278,77297) = 1
LCM(77278,77297) = ( 77278 × 77297) / 1
LCM(77278,77297) = 5973357566 / 1
LCM(77278,77297) = 5973357566

Least Common Multiple (LCM) of 77278 and 77297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77278 and 77297. First we will calculate the prime factors of 77278 and 77297.

Prime Factorization of 77278

Prime factors of 77278 are 2, 38639. Prime factorization of 77278 in exponential form is:

77278 = 21 × 386391

Prime Factorization of 77297

Prime factors of 77297 are 11, 7027. Prime factorization of 77297 in exponential form is:

77297 = 111 × 70271

Now multiplying the highest exponent prime factors to calculate the LCM of 77278 and 77297.

LCM(77278,77297) = 21 × 386391 × 111 × 70271
LCM(77278,77297) = 5973357566