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What is the Least Common Multiple of 4419 and 4426?

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 4419 and 4426 is 19558494.

LCM(4419,4426) = 19558494

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Least Common Multiple of 4419 and 4426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4419 and 4426, than apply into the LCM equation.

GCF(4419,4426) = 1
LCM(4419,4426) = ( 4419 × 4426) / 1
LCM(4419,4426) = 19558494 / 1
LCM(4419,4426) = 19558494

Least Common Multiple (LCM) of 4419 and 4426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4419 and 4426. First we will calculate the prime factors of 4419 and 4426.

Prime Factorization of 4419

Prime factors of 4419 are 3, 491. Prime factorization of 4419 in exponential form is:

4419 = 32 × 4911

Prime Factorization of 4426

Prime factors of 4426 are 2, 2213. Prime factorization of 4426 in exponential form is:

4426 = 21 × 22131

Now multiplying the highest exponent prime factors to calculate the LCM of 4419 and 4426.

LCM(4419,4426) = 32 × 4911 × 21 × 22131
LCM(4419,4426) = 19558494