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What is the Least Common Multiple of 45414 and 45426?

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 45414 and 45426 is 343829394.

LCM(45414,45426) = 343829394

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Least Common Multiple of 45414 and 45426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45414 and 45426, than apply into the LCM equation.

GCF(45414,45426) = 6
LCM(45414,45426) = ( 45414 × 45426) / 6
LCM(45414,45426) = 2062976364 / 6
LCM(45414,45426) = 343829394

Least Common Multiple (LCM) of 45414 and 45426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45414 and 45426. First we will calculate the prime factors of 45414 and 45426.

Prime Factorization of 45414

Prime factors of 45414 are 2, 3, 29. Prime factorization of 45414 in exponential form is:

45414 = 21 × 33 × 292

Prime Factorization of 45426

Prime factors of 45426 are 2, 3, 67, 113. Prime factorization of 45426 in exponential form is:

45426 = 21 × 31 × 671 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 45414 and 45426.

LCM(45414,45426) = 21 × 33 × 292 × 671 × 1131
LCM(45414,45426) = 343829394