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What is the Least Common Multiple of 7421 and 7426?

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 7421 and 7426 is 55108346.

LCM(7421,7426) = 55108346

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Least Common Multiple of 7421 and 7426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7421 and 7426, than apply into the LCM equation.

GCF(7421,7426) = 1
LCM(7421,7426) = ( 7421 × 7426) / 1
LCM(7421,7426) = 55108346 / 1
LCM(7421,7426) = 55108346

Least Common Multiple (LCM) of 7421 and 7426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7421 and 7426. First we will calculate the prime factors of 7421 and 7426.

Prime Factorization of 7421

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

7421 = 411 × 1811

Prime Factorization of 7426

Prime factors of 7426 are 2, 47, 79. Prime factorization of 7426 in exponential form is:

7426 = 21 × 471 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 7421 and 7426.

LCM(7421,7426) = 411 × 1811 × 21 × 471 × 791
LCM(7421,7426) = 55108346