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What is the Least Common Multiple of 4340 and 4360?

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 4340 and 4360 is 946120.

LCM(4340,4360) = 946120

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Least Common Multiple of 4340 and 4360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4340 and 4360, than apply into the LCM equation.

GCF(4340,4360) = 20
LCM(4340,4360) = ( 4340 × 4360) / 20
LCM(4340,4360) = 18922400 / 20
LCM(4340,4360) = 946120

Least Common Multiple (LCM) of 4340 and 4360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4340 and 4360. First we will calculate the prime factors of 4340 and 4360.

Prime Factorization of 4340

Prime factors of 4340 are 2, 5, 7, 31. Prime factorization of 4340 in exponential form is:

4340 = 22 × 51 × 71 × 311

Prime Factorization of 4360

Prime factors of 4360 are 2, 5, 109. Prime factorization of 4360 in exponential form is:

4360 = 23 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4340 and 4360.

LCM(4340,4360) = 23 × 51 × 71 × 311 × 1091
LCM(4340,4360) = 946120