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What is the Least Common Multiple of 66846 and 66850?

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 66846 and 66850 is 2234327550.

LCM(66846,66850) = 2234327550

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Least Common Multiple of 66846 and 66850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66846 and 66850, than apply into the LCM equation.

GCF(66846,66850) = 2
LCM(66846,66850) = ( 66846 × 66850) / 2
LCM(66846,66850) = 4468655100 / 2
LCM(66846,66850) = 2234327550

Least Common Multiple (LCM) of 66846 and 66850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66846 and 66850. First we will calculate the prime factors of 66846 and 66850.

Prime Factorization of 66846

Prime factors of 66846 are 2, 3, 13, 857. Prime factorization of 66846 in exponential form is:

66846 = 21 × 31 × 131 × 8571

Prime Factorization of 66850

Prime factors of 66850 are 2, 5, 7, 191. Prime factorization of 66850 in exponential form is:

66850 = 21 × 52 × 71 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 66846 and 66850.

LCM(66846,66850) = 21 × 31 × 131 × 8571 × 52 × 71 × 1911
LCM(66846,66850) = 2234327550