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What is the Least Common Multiple of 77413 and 77426?

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 77413 and 77426 is 5993778938.

LCM(77413,77426) = 5993778938

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Least Common Multiple of 77413 and 77426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77413 and 77426, than apply into the LCM equation.

GCF(77413,77426) = 1
LCM(77413,77426) = ( 77413 × 77426) / 1
LCM(77413,77426) = 5993778938 / 1
LCM(77413,77426) = 5993778938

Least Common Multiple (LCM) of 77413 and 77426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77413 and 77426. First we will calculate the prime factors of 77413 and 77426.

Prime Factorization of 77413

Prime factors of 77413 are 7, 11059. Prime factorization of 77413 in exponential form is:

77413 = 71 × 110591

Prime Factorization of 77426

Prime factors of 77426 are 2, 38713. Prime factorization of 77426 in exponential form is:

77426 = 21 × 387131

Now multiplying the highest exponent prime factors to calculate the LCM of 77413 and 77426.

LCM(77413,77426) = 71 × 110591 × 21 × 387131
LCM(77413,77426) = 5993778938