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What is the Least Common Multiple of 66444 and 66463?

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 66444 and 66463 is 4416067572.

LCM(66444,66463) = 4416067572

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Least Common Multiple of 66444 and 66463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66444 and 66463, than apply into the LCM equation.

GCF(66444,66463) = 1
LCM(66444,66463) = ( 66444 × 66463) / 1
LCM(66444,66463) = 4416067572 / 1
LCM(66444,66463) = 4416067572

Least Common Multiple (LCM) of 66444 and 66463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66444 and 66463. First we will calculate the prime factors of 66444 and 66463.

Prime Factorization of 66444

Prime factors of 66444 are 2, 3, 7, 113. Prime factorization of 66444 in exponential form is:

66444 = 22 × 31 × 72 × 1131

Prime Factorization of 66463

Prime factors of 66463 are 66463. Prime factorization of 66463 in exponential form is:

66463 = 664631

Now multiplying the highest exponent prime factors to calculate the LCM of 66444 and 66463.

LCM(66444,66463) = 22 × 31 × 72 × 1131 × 664631
LCM(66444,66463) = 4416067572