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What is the Least Common Multiple of 7183 and 7195?

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 7183 and 7195 is 51681685.

LCM(7183,7195) = 51681685

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Least Common Multiple of 7183 and 7195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7183 and 7195, than apply into the LCM equation.

GCF(7183,7195) = 1
LCM(7183,7195) = ( 7183 × 7195) / 1
LCM(7183,7195) = 51681685 / 1
LCM(7183,7195) = 51681685

Least Common Multiple (LCM) of 7183 and 7195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7183 and 7195. First we will calculate the prime factors of 7183 and 7195.

Prime Factorization of 7183

Prime factors of 7183 are 11, 653. Prime factorization of 7183 in exponential form is:

7183 = 111 × 6531

Prime Factorization of 7195

Prime factors of 7195 are 5, 1439. Prime factorization of 7195 in exponential form is:

7195 = 51 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 7183 and 7195.

LCM(7183,7195) = 111 × 6531 × 51 × 14391
LCM(7183,7195) = 51681685