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What is the Least Common Multiple of 7402 and 7409?

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 7402 and 7409 is 54841418.

LCM(7402,7409) = 54841418

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Least Common Multiple of 7402 and 7409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7402 and 7409, than apply into the LCM equation.

GCF(7402,7409) = 1
LCM(7402,7409) = ( 7402 × 7409) / 1
LCM(7402,7409) = 54841418 / 1
LCM(7402,7409) = 54841418

Least Common Multiple (LCM) of 7402 and 7409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7402 and 7409. First we will calculate the prime factors of 7402 and 7409.

Prime Factorization of 7402

Prime factors of 7402 are 2, 3701. Prime factorization of 7402 in exponential form is:

7402 = 21 × 37011

Prime Factorization of 7409

Prime factors of 7409 are 31, 239. Prime factorization of 7409 in exponential form is:

7409 = 311 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 7402 and 7409.

LCM(7402,7409) = 21 × 37011 × 311 × 2391
LCM(7402,7409) = 54841418