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What is the Least Common Multiple of 7426 and 7442?

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 7426 and 7442 is 27632146.

LCM(7426,7442) = 27632146

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Least Common Multiple of 7426 and 7442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7426 and 7442, than apply into the LCM equation.

GCF(7426,7442) = 2
LCM(7426,7442) = ( 7426 × 7442) / 2
LCM(7426,7442) = 55264292 / 2
LCM(7426,7442) = 27632146

Least Common Multiple (LCM) of 7426 and 7442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7426 and 7442. First we will calculate the prime factors of 7426 and 7442.

Prime Factorization of 7426

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

7426 = 21 × 471 × 791

Prime Factorization of 7442

Prime factors of 7442 are 2, 61. Prime factorization of 7442 in exponential form is:

7442 = 21 × 612

Now multiplying the highest exponent prime factors to calculate the LCM of 7426 and 7442.

LCM(7426,7442) = 21 × 471 × 791 × 612
LCM(7426,7442) = 27632146