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What is the Least Common Multiple of 7174 and 7183?

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 7174 and 7183 is 51530842.

LCM(7174,7183) = 51530842

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Least Common Multiple of 7174 and 7183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7174 and 7183, than apply into the LCM equation.

GCF(7174,7183) = 1
LCM(7174,7183) = ( 7174 × 7183) / 1
LCM(7174,7183) = 51530842 / 1
LCM(7174,7183) = 51530842

Least Common Multiple (LCM) of 7174 and 7183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7174 and 7183. First we will calculate the prime factors of 7174 and 7183.

Prime Factorization of 7174

Prime factors of 7174 are 2, 17, 211. Prime factorization of 7174 in exponential form is:

7174 = 21 × 171 × 2111

Prime Factorization of 7183

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

7183 = 111 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 7174 and 7183.

LCM(7174,7183) = 21 × 171 × 2111 × 111 × 6531
LCM(7174,7183) = 51530842