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What is the Least Common Multiple of 77417 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 77417 and 77426 is 5994088642.

LCM(77417,77426) = 5994088642

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Least Common Multiple of 77417 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 77417 and 77426, than apply into the LCM equation.

GCF(77417,77426) = 1
LCM(77417,77426) = ( 77417 × 77426) / 1
LCM(77417,77426) = 5994088642 / 1
LCM(77417,77426) = 5994088642

Least Common Multiple (LCM) of 77417 and 77426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77417 and 77426. First we will calculate the prime factors of 77417 and 77426.

Prime Factorization of 77417

Prime factors of 77417 are 77417. Prime factorization of 77417 in exponential form is:

77417 = 774171

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 77417 and 77426.

LCM(77417,77426) = 774171 × 21 × 387131
LCM(77417,77426) = 5994088642