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What is the Least Common Multiple of 7345 and 7354?

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 7345 and 7354 is 54015130.

LCM(7345,7354) = 54015130

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Least Common Multiple of 7345 and 7354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7345 and 7354, than apply into the LCM equation.

GCF(7345,7354) = 1
LCM(7345,7354) = ( 7345 × 7354) / 1
LCM(7345,7354) = 54015130 / 1
LCM(7345,7354) = 54015130

Least Common Multiple (LCM) of 7345 and 7354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7345 and 7354. First we will calculate the prime factors of 7345 and 7354.

Prime Factorization of 7345

Prime factors of 7345 are 5, 13, 113. Prime factorization of 7345 in exponential form is:

7345 = 51 × 131 × 1131

Prime Factorization of 7354

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

7354 = 21 × 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 7345 and 7354.

LCM(7345,7354) = 51 × 131 × 1131 × 21 × 36771
LCM(7345,7354) = 54015130