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What is the Least Common Multiple of 7379 and 7393?

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 7379 and 7393 is 54552947.

LCM(7379,7393) = 54552947

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Least Common Multiple of 7379 and 7393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7379 and 7393, than apply into the LCM equation.

GCF(7379,7393) = 1
LCM(7379,7393) = ( 7379 × 7393) / 1
LCM(7379,7393) = 54552947 / 1
LCM(7379,7393) = 54552947

Least Common Multiple (LCM) of 7379 and 7393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7379 and 7393. First we will calculate the prime factors of 7379 and 7393.

Prime Factorization of 7379

Prime factors of 7379 are 47, 157. Prime factorization of 7379 in exponential form is:

7379 = 471 × 1571

Prime Factorization of 7393

Prime factors of 7393 are 7393. Prime factorization of 7393 in exponential form is:

7393 = 73931

Now multiplying the highest exponent prime factors to calculate the LCM of 7379 and 7393.

LCM(7379,7393) = 471 × 1571 × 73931
LCM(7379,7393) = 54552947