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What is the Least Common Multiple of 30915 and 30925?

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 30915 and 30925 is 191209275.

LCM(30915,30925) = 191209275

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Least Common Multiple of 30915 and 30925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30915 and 30925, than apply into the LCM equation.

GCF(30915,30925) = 5
LCM(30915,30925) = ( 30915 × 30925) / 5
LCM(30915,30925) = 956046375 / 5
LCM(30915,30925) = 191209275

Least Common Multiple (LCM) of 30915 and 30925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30915 and 30925. First we will calculate the prime factors of 30915 and 30925.

Prime Factorization of 30915

Prime factors of 30915 are 3, 5, 229. Prime factorization of 30915 in exponential form is:

30915 = 33 × 51 × 2291

Prime Factorization of 30925

Prime factors of 30925 are 5, 1237. Prime factorization of 30925 in exponential form is:

30925 = 52 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 30915 and 30925.

LCM(30915,30925) = 33 × 52 × 2291 × 12371
LCM(30915,30925) = 191209275