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What is the Least Common Multiple of 66537 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 66537 and 66546 is 491974578.

LCM(66537,66546) = 491974578

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Least Common Multiple of 66537 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 66537 and 66546, than apply into the LCM equation.

GCF(66537,66546) = 9
LCM(66537,66546) = ( 66537 × 66546) / 9
LCM(66537,66546) = 4427771202 / 9
LCM(66537,66546) = 491974578

Least Common Multiple (LCM) of 66537 and 66546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66537 and 66546. First we will calculate the prime factors of 66537 and 66546.

Prime Factorization of 66537

Prime factors of 66537 are 3, 7393. Prime factorization of 66537 in exponential form is:

66537 = 32 × 73931

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 66537 and 66546.

LCM(66537,66546) = 32 × 73931 × 21 × 36971
LCM(66537,66546) = 491974578