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What is the Least Common Multiple of 4705 and 4714?

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 4705 and 4714 is 22179370.

LCM(4705,4714) = 22179370

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Least Common Multiple of 4705 and 4714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4705 and 4714, than apply into the LCM equation.

GCF(4705,4714) = 1
LCM(4705,4714) = ( 4705 × 4714) / 1
LCM(4705,4714) = 22179370 / 1
LCM(4705,4714) = 22179370

Least Common Multiple (LCM) of 4705 and 4714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4705 and 4714. First we will calculate the prime factors of 4705 and 4714.

Prime Factorization of 4705

Prime factors of 4705 are 5, 941. Prime factorization of 4705 in exponential form is:

4705 = 51 × 9411

Prime Factorization of 4714

Prime factors of 4714 are 2, 2357. Prime factorization of 4714 in exponential form is:

4714 = 21 × 23571

Now multiplying the highest exponent prime factors to calculate the LCM of 4705 and 4714.

LCM(4705,4714) = 51 × 9411 × 21 × 23571
LCM(4705,4714) = 22179370