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What is the Least Common Multiple of 66622 and 66631?

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 66622 and 66631 is 4439090482.

LCM(66622,66631) = 4439090482

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Least Common Multiple of 66622 and 66631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66622 and 66631, than apply into the LCM equation.

GCF(66622,66631) = 1
LCM(66622,66631) = ( 66622 × 66631) / 1
LCM(66622,66631) = 4439090482 / 1
LCM(66622,66631) = 4439090482

Least Common Multiple (LCM) of 66622 and 66631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66622 and 66631. First we will calculate the prime factors of 66622 and 66631.

Prime Factorization of 66622

Prime factors of 66622 are 2, 33311. Prime factorization of 66622 in exponential form is:

66622 = 21 × 333111

Prime Factorization of 66631

Prime factors of 66631 are 23, 2897. Prime factorization of 66631 in exponential form is:

66631 = 231 × 28971

Now multiplying the highest exponent prime factors to calculate the LCM of 66622 and 66631.

LCM(66622,66631) = 21 × 333111 × 231 × 28971
LCM(66622,66631) = 4439090482