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What is the Least Common Multiple of 66622 and 66627?

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 66627 is 4438823994.

LCM(66622,66627) = 4438823994

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Least Common Multiple of 66622 and 66627 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 66627, than apply into the LCM equation.

GCF(66622,66627) = 1
LCM(66622,66627) = ( 66622 × 66627) / 1
LCM(66622,66627) = 4438823994 / 1
LCM(66622,66627) = 4438823994

Least Common Multiple (LCM) of 66622 and 66627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66622 and 66627. First we will calculate the prime factors of 66622 and 66627.

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 66627

Prime factors of 66627 are 3, 11, 673. Prime factorization of 66627 in exponential form is:

66627 = 32 × 111 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 66622 and 66627.

LCM(66622,66627) = 21 × 333111 × 32 × 111 × 6731
LCM(66622,66627) = 4438823994