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What is the Least Common Multiple of 66953 and 66966?

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 66953 and 66966 is 4483574598.

LCM(66953,66966) = 4483574598

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Least Common Multiple of 66953 and 66966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66953 and 66966, than apply into the LCM equation.

GCF(66953,66966) = 1
LCM(66953,66966) = ( 66953 × 66966) / 1
LCM(66953,66966) = 4483574598 / 1
LCM(66953,66966) = 4483574598

Least Common Multiple (LCM) of 66953 and 66966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66953 and 66966. First we will calculate the prime factors of 66953 and 66966.

Prime Factorization of 66953

Prime factors of 66953 are 23, 41, 71. Prime factorization of 66953 in exponential form is:

66953 = 231 × 411 × 711

Prime Factorization of 66966

Prime factors of 66966 are 2, 3, 11161. Prime factorization of 66966 in exponential form is:

66966 = 21 × 31 × 111611

Now multiplying the highest exponent prime factors to calculate the LCM of 66953 and 66966.

LCM(66953,66966) = 231 × 411 × 711 × 21 × 31 × 111611
LCM(66953,66966) = 4483574598