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What is the Least Common Multiple of 7354 and 7374?

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 7354 and 7374 is 27114198.

LCM(7354,7374) = 27114198

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Least Common Multiple of 7354 and 7374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7354 and 7374, than apply into the LCM equation.

GCF(7354,7374) = 2
LCM(7354,7374) = ( 7354 × 7374) / 2
LCM(7354,7374) = 54228396 / 2
LCM(7354,7374) = 27114198

Least Common Multiple (LCM) of 7354 and 7374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7354 and 7374. First we will calculate the prime factors of 7354 and 7374.

Prime Factorization of 7354

Prime factors of 7354 are 2, 3677. Prime factorization of 7354 in exponential form is:

7354 = 21 × 36771

Prime Factorization of 7374

Prime factors of 7374 are 2, 3, 1229. Prime factorization of 7374 in exponential form is:

7374 = 21 × 31 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 7354 and 7374.

LCM(7354,7374) = 21 × 36771 × 31 × 12291
LCM(7354,7374) = 27114198