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What is the Least Common Multiple of 66409 and 66416?

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 66409 and 66416 is 630088592.

LCM(66409,66416) = 630088592

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Least Common Multiple of 66409 and 66416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66409 and 66416, than apply into the LCM equation.

GCF(66409,66416) = 7
LCM(66409,66416) = ( 66409 × 66416) / 7
LCM(66409,66416) = 4410620144 / 7
LCM(66409,66416) = 630088592

Least Common Multiple (LCM) of 66409 and 66416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66409 and 66416. First we will calculate the prime factors of 66409 and 66416.

Prime Factorization of 66409

Prime factors of 66409 are 7, 53, 179. Prime factorization of 66409 in exponential form is:

66409 = 71 × 531 × 1791

Prime Factorization of 66416

Prime factors of 66416 are 2, 7, 593. Prime factorization of 66416 in exponential form is:

66416 = 24 × 71 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 66409 and 66416.

LCM(66409,66416) = 71 × 531 × 1791 × 24 × 5931
LCM(66409,66416) = 630088592