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What is the Least Common Multiple of 66653 and 66663?

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 66653 and 66663 is 4443288939.

LCM(66653,66663) = 4443288939

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Least Common Multiple of 66653 and 66663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66653 and 66663, than apply into the LCM equation.

GCF(66653,66663) = 1
LCM(66653,66663) = ( 66653 × 66663) / 1
LCM(66653,66663) = 4443288939 / 1
LCM(66653,66663) = 4443288939

Least Common Multiple (LCM) of 66653 and 66663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66653 and 66663. First we will calculate the prime factors of 66653 and 66663.

Prime Factorization of 66653

Prime factors of 66653 are 66653. Prime factorization of 66653 in exponential form is:

66653 = 666531

Prime Factorization of 66663

Prime factors of 66663 are 3, 823. Prime factorization of 66663 in exponential form is:

66663 = 34 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 66653 and 66663.

LCM(66653,66663) = 666531 × 34 × 8231
LCM(66653,66663) = 4443288939