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What is the Least Common Multiple of 66530 and 66546?

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 66530 and 66546 is 2213652690.

LCM(66530,66546) = 2213652690

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Least Common Multiple of 66530 and 66546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66530 and 66546, than apply into the LCM equation.

GCF(66530,66546) = 2
LCM(66530,66546) = ( 66530 × 66546) / 2
LCM(66530,66546) = 4427305380 / 2
LCM(66530,66546) = 2213652690

Least Common Multiple (LCM) of 66530 and 66546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66530 and 66546. First we will calculate the prime factors of 66530 and 66546.

Prime Factorization of 66530

Prime factors of 66530 are 2, 5, 6653. Prime factorization of 66530 in exponential form is:

66530 = 21 × 51 × 66531

Prime Factorization of 66546

Prime factors of 66546 are 2, 3, 3697. Prime factorization of 66546 in exponential form is:

66546 = 21 × 32 × 36971

Now multiplying the highest exponent prime factors to calculate the LCM of 66530 and 66546.

LCM(66530,66546) = 21 × 51 × 66531 × 32 × 36971
LCM(66530,66546) = 2213652690