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What is the Least Common Multiple of 7394 and 7411?

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 7394 and 7411 is 54796934.

LCM(7394,7411) = 54796934

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Least Common Multiple of 7394 and 7411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7394 and 7411, than apply into the LCM equation.

GCF(7394,7411) = 1
LCM(7394,7411) = ( 7394 × 7411) / 1
LCM(7394,7411) = 54796934 / 1
LCM(7394,7411) = 54796934

Least Common Multiple (LCM) of 7394 and 7411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7394 and 7411. First we will calculate the prime factors of 7394 and 7411.

Prime Factorization of 7394

Prime factors of 7394 are 2, 3697. Prime factorization of 7394 in exponential form is:

7394 = 21 × 36971

Prime Factorization of 7411

Prime factors of 7411 are 7411. Prime factorization of 7411 in exponential form is:

7411 = 74111

Now multiplying the highest exponent prime factors to calculate the LCM of 7394 and 7411.

LCM(7394,7411) = 21 × 36971 × 74111
LCM(7394,7411) = 54796934