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What is the Least Common Multiple of 42180 and 42185?

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 42180 and 42185 is 355872660.

LCM(42180,42185) = 355872660

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Least Common Multiple of 42180 and 42185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42180 and 42185, than apply into the LCM equation.

GCF(42180,42185) = 5
LCM(42180,42185) = ( 42180 × 42185) / 5
LCM(42180,42185) = 1779363300 / 5
LCM(42180,42185) = 355872660

Least Common Multiple (LCM) of 42180 and 42185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42180 and 42185. First we will calculate the prime factors of 42180 and 42185.

Prime Factorization of 42180

Prime factors of 42180 are 2, 3, 5, 19, 37. Prime factorization of 42180 in exponential form is:

42180 = 22 × 31 × 51 × 191 × 371

Prime Factorization of 42185

Prime factors of 42185 are 5, 11, 13, 59. Prime factorization of 42185 in exponential form is:

42185 = 51 × 111 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 42180 and 42185.

LCM(42180,42185) = 22 × 31 × 51 × 191 × 371 × 111 × 131 × 591
LCM(42180,42185) = 355872660

Related Least Common Multiples of 42180

Related Least Common Multiples of 42185