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What is the Least Common Multiple of 66469 and 66477?

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 66469 and 66477 is 4418659713.

LCM(66469,66477) = 4418659713

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Least Common Multiple of 66469 and 66477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66469 and 66477, than apply into the LCM equation.

GCF(66469,66477) = 1
LCM(66469,66477) = ( 66469 × 66477) / 1
LCM(66469,66477) = 4418659713 / 1
LCM(66469,66477) = 4418659713

Least Common Multiple (LCM) of 66469 and 66477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66469 and 66477. First we will calculate the prime factors of 66469 and 66477.

Prime Factorization of 66469

Prime factors of 66469 are 13, 5113. Prime factorization of 66469 in exponential form is:

66469 = 131 × 51131

Prime Factorization of 66477

Prime factors of 66477 are 3, 22159. Prime factorization of 66477 in exponential form is:

66477 = 31 × 221591

Now multiplying the highest exponent prime factors to calculate the LCM of 66469 and 66477.

LCM(66469,66477) = 131 × 51131 × 31 × 221591
LCM(66469,66477) = 4418659713