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What is the Least Common Multiple of 4635 and 4650?

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 4635 and 4650 is 1436850.

LCM(4635,4650) = 1436850

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Least Common Multiple of 4635 and 4650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4635 and 4650, than apply into the LCM equation.

GCF(4635,4650) = 15
LCM(4635,4650) = ( 4635 × 4650) / 15
LCM(4635,4650) = 21552750 / 15
LCM(4635,4650) = 1436850

Least Common Multiple (LCM) of 4635 and 4650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4635 and 4650. First we will calculate the prime factors of 4635 and 4650.

Prime Factorization of 4635

Prime factors of 4635 are 3, 5, 103. Prime factorization of 4635 in exponential form is:

4635 = 32 × 51 × 1031

Prime Factorization of 4650

Prime factors of 4650 are 2, 3, 5, 31. Prime factorization of 4650 in exponential form is:

4650 = 21 × 31 × 52 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4635 and 4650.

LCM(4635,4650) = 32 × 52 × 1031 × 21 × 311
LCM(4635,4650) = 1436850