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What is the Least Common Multiple of 42174 and 42191?

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 42174 and 42191 is 1779363234.

LCM(42174,42191) = 1779363234

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Least Common Multiple of 42174 and 42191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42174 and 42191, than apply into the LCM equation.

GCF(42174,42191) = 1
LCM(42174,42191) = ( 42174 × 42191) / 1
LCM(42174,42191) = 1779363234 / 1
LCM(42174,42191) = 1779363234

Least Common Multiple (LCM) of 42174 and 42191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42174 and 42191. First we will calculate the prime factors of 42174 and 42191.

Prime Factorization of 42174

Prime factors of 42174 are 2, 3, 11, 71. Prime factorization of 42174 in exponential form is:

42174 = 21 × 33 × 111 × 711

Prime Factorization of 42191

Prime factors of 42191 are 31, 1361. Prime factorization of 42191 in exponential form is:

42191 = 311 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 42174 and 42191.

LCM(42174,42191) = 21 × 33 × 111 × 711 × 311 × 13611
LCM(42174,42191) = 1779363234