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What is the Least Common Multiple of 66 and 71?

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 66 and 71 is 4686.

LCM(66,71) = 4686

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Least Common Multiple of 66 and 71 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66 and 71, than apply into the LCM equation.

GCF(66,71) = 1
LCM(66,71) = ( 66 × 71) / 1
LCM(66,71) = 4686 / 1
LCM(66,71) = 4686

Least Common Multiple (LCM) of 66 and 71 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66 and 71. First we will calculate the prime factors of 66 and 71.

Prime Factorization of 66

Prime factors of 66 are 2, 3, 11. Prime factorization of 66 in exponential form is:

66 = 21 × 31 × 111

Prime Factorization of 71

Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:

71 = 711

Now multiplying the highest exponent prime factors to calculate the LCM of 66 and 71.

LCM(66,71) = 21 × 31 × 111 × 711
LCM(66,71) = 4686

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