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What is the Least Common Multiple of 7406 and 7422?

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 7406 and 7422 is 27483666.

LCM(7406,7422) = 27483666

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Least Common Multiple of 7406 and 7422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7406 and 7422, than apply into the LCM equation.

GCF(7406,7422) = 2
LCM(7406,7422) = ( 7406 × 7422) / 2
LCM(7406,7422) = 54967332 / 2
LCM(7406,7422) = 27483666

Least Common Multiple (LCM) of 7406 and 7422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7406 and 7422. First we will calculate the prime factors of 7406 and 7422.

Prime Factorization of 7406

Prime factors of 7406 are 2, 7, 23. Prime factorization of 7406 in exponential form is:

7406 = 21 × 71 × 232

Prime Factorization of 7422

Prime factors of 7422 are 2, 3, 1237. Prime factorization of 7422 in exponential form is:

7422 = 21 × 31 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 7406 and 7422.

LCM(7406,7422) = 21 × 71 × 232 × 31 × 12371
LCM(7406,7422) = 27483666