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What is the Least Common Multiple of 66495 and 66510?

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 66495 and 66510 is 294838830.

LCM(66495,66510) = 294838830

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Least Common Multiple of 66495 and 66510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66495 and 66510, than apply into the LCM equation.

GCF(66495,66510) = 15
LCM(66495,66510) = ( 66495 × 66510) / 15
LCM(66495,66510) = 4422582450 / 15
LCM(66495,66510) = 294838830

Least Common Multiple (LCM) of 66495 and 66510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66495 and 66510. First we will calculate the prime factors of 66495 and 66510.

Prime Factorization of 66495

Prime factors of 66495 are 3, 5, 11, 13, 31. Prime factorization of 66495 in exponential form is:

66495 = 31 × 51 × 111 × 131 × 311

Prime Factorization of 66510

Prime factors of 66510 are 2, 3, 5, 739. Prime factorization of 66510 in exponential form is:

66510 = 21 × 32 × 51 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 66495 and 66510.

LCM(66495,66510) = 32 × 51 × 111 × 131 × 311 × 21 × 7391
LCM(66495,66510) = 294838830