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What is the Least Common Multiple of 7171 and 7178?

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 7171 and 7178 is 51473438.

LCM(7171,7178) = 51473438

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Least Common Multiple of 7171 and 7178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7171 and 7178, than apply into the LCM equation.

GCF(7171,7178) = 1
LCM(7171,7178) = ( 7171 × 7178) / 1
LCM(7171,7178) = 51473438 / 1
LCM(7171,7178) = 51473438

Least Common Multiple (LCM) of 7171 and 7178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7171 and 7178. First we will calculate the prime factors of 7171 and 7178.

Prime Factorization of 7171

Prime factors of 7171 are 71, 101. Prime factorization of 7171 in exponential form is:

7171 = 711 × 1011

Prime Factorization of 7178

Prime factors of 7178 are 2, 37, 97. Prime factorization of 7178 in exponential form is:

7178 = 21 × 371 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 7171 and 7178.

LCM(7171,7178) = 711 × 1011 × 21 × 371 × 971
LCM(7171,7178) = 51473438