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What is the Least Common Multiple of 7414 and 7421?

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 7414 and 7421 is 55019294.

LCM(7414,7421) = 55019294

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Least Common Multiple of 7414 and 7421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7414 and 7421, than apply into the LCM equation.

GCF(7414,7421) = 1
LCM(7414,7421) = ( 7414 × 7421) / 1
LCM(7414,7421) = 55019294 / 1
LCM(7414,7421) = 55019294

Least Common Multiple (LCM) of 7414 and 7421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7414 and 7421. First we will calculate the prime factors of 7414 and 7421.

Prime Factorization of 7414

Prime factors of 7414 are 2, 11, 337. Prime factorization of 7414 in exponential form is:

7414 = 21 × 111 × 3371

Prime Factorization of 7421

Prime factors of 7421 are 41, 181. Prime factorization of 7421 in exponential form is:

7421 = 411 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 7414 and 7421.

LCM(7414,7421) = 21 × 111 × 3371 × 411 × 1811
LCM(7414,7421) = 55019294