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What is the Least Common Multiple of 7366 and 7378?

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 7366 and 7378 is 27173174.

LCM(7366,7378) = 27173174

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Least Common Multiple of 7366 and 7378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7366 and 7378, than apply into the LCM equation.

GCF(7366,7378) = 2
LCM(7366,7378) = ( 7366 × 7378) / 2
LCM(7366,7378) = 54346348 / 2
LCM(7366,7378) = 27173174

Least Common Multiple (LCM) of 7366 and 7378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7366 and 7378. First we will calculate the prime factors of 7366 and 7378.

Prime Factorization of 7366

Prime factors of 7366 are 2, 29, 127. Prime factorization of 7366 in exponential form is:

7366 = 21 × 291 × 1271

Prime Factorization of 7378

Prime factors of 7378 are 2, 7, 17, 31. Prime factorization of 7378 in exponential form is:

7378 = 21 × 71 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 7366 and 7378.

LCM(7366,7378) = 21 × 291 × 1271 × 71 × 171 × 311
LCM(7366,7378) = 27173174