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What is the Least Common Multiple of 66501 and 66516?

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 66501 and 66516 is 1474460172.

LCM(66501,66516) = 1474460172

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Least Common Multiple of 66501 and 66516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66501 and 66516, than apply into the LCM equation.

GCF(66501,66516) = 3
LCM(66501,66516) = ( 66501 × 66516) / 3
LCM(66501,66516) = 4423380516 / 3
LCM(66501,66516) = 1474460172

Least Common Multiple (LCM) of 66501 and 66516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66501 and 66516. First we will calculate the prime factors of 66501 and 66516.

Prime Factorization of 66501

Prime factors of 66501 are 3, 821. Prime factorization of 66501 in exponential form is:

66501 = 34 × 8211

Prime Factorization of 66516

Prime factors of 66516 are 2, 3, 23, 241. Prime factorization of 66516 in exponential form is:

66516 = 22 × 31 × 231 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 66501 and 66516.

LCM(66501,66516) = 34 × 8211 × 22 × 231 × 2411
LCM(66501,66516) = 1474460172