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What is the Least Common Multiple of 4915 and 4935?

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 4915 and 4935 is 4851105.

LCM(4915,4935) = 4851105

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Least Common Multiple of 4915 and 4935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4915 and 4935, than apply into the LCM equation.

GCF(4915,4935) = 5
LCM(4915,4935) = ( 4915 × 4935) / 5
LCM(4915,4935) = 24255525 / 5
LCM(4915,4935) = 4851105

Least Common Multiple (LCM) of 4915 and 4935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4915 and 4935. First we will calculate the prime factors of 4915 and 4935.

Prime Factorization of 4915

Prime factors of 4915 are 5, 983. Prime factorization of 4915 in exponential form is:

4915 = 51 × 9831

Prime Factorization of 4935

Prime factors of 4935 are 3, 5, 7, 47. Prime factorization of 4935 in exponential form is:

4935 = 31 × 51 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 4915 and 4935.

LCM(4915,4935) = 51 × 9831 × 31 × 71 × 471
LCM(4915,4935) = 4851105