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What is the Least Common Multiple of 57155 and 57169?

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 57155 and 57169 is 466784885.

LCM(57155,57169) = 466784885

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Least Common Multiple of 57155 and 57169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57155 and 57169, than apply into the LCM equation.

GCF(57155,57169) = 7
LCM(57155,57169) = ( 57155 × 57169) / 7
LCM(57155,57169) = 3267494195 / 7
LCM(57155,57169) = 466784885

Least Common Multiple (LCM) of 57155 and 57169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57155 and 57169. First we will calculate the prime factors of 57155 and 57169.

Prime Factorization of 57155

Prime factors of 57155 are 5, 7, 23, 71. Prime factorization of 57155 in exponential form is:

57155 = 51 × 71 × 231 × 711

Prime Factorization of 57169

Prime factors of 57169 are 7, 8167. Prime factorization of 57169 in exponential form is:

57169 = 71 × 81671

Now multiplying the highest exponent prime factors to calculate the LCM of 57155 and 57169.

LCM(57155,57169) = 51 × 71 × 231 × 711 × 81671
LCM(57155,57169) = 466784885