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What is the Least Common Multiple of 30855 and 30860?

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 30855 and 30860 is 190437060.

LCM(30855,30860) = 190437060

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Least Common Multiple of 30855 and 30860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30855 and 30860, than apply into the LCM equation.

GCF(30855,30860) = 5
LCM(30855,30860) = ( 30855 × 30860) / 5
LCM(30855,30860) = 952185300 / 5
LCM(30855,30860) = 190437060

Least Common Multiple (LCM) of 30855 and 30860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30855 and 30860. First we will calculate the prime factors of 30855 and 30860.

Prime Factorization of 30855

Prime factors of 30855 are 3, 5, 11, 17. Prime factorization of 30855 in exponential form is:

30855 = 31 × 51 × 112 × 171

Prime Factorization of 30860

Prime factors of 30860 are 2, 5, 1543. Prime factorization of 30860 in exponential form is:

30860 = 22 × 51 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 30855 and 30860.

LCM(30855,30860) = 31 × 51 × 112 × 171 × 22 × 15431
LCM(30855,30860) = 190437060