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What is the Least Common Multiple of 66316 and 66335?

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 66316 and 66335 is 4399071860.

LCM(66316,66335) = 4399071860

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Least Common Multiple of 66316 and 66335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66316 and 66335, than apply into the LCM equation.

GCF(66316,66335) = 1
LCM(66316,66335) = ( 66316 × 66335) / 1
LCM(66316,66335) = 4399071860 / 1
LCM(66316,66335) = 4399071860

Least Common Multiple (LCM) of 66316 and 66335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66316 and 66335. First we will calculate the prime factors of 66316 and 66335.

Prime Factorization of 66316

Prime factors of 66316 are 2, 59, 281. Prime factorization of 66316 in exponential form is:

66316 = 22 × 591 × 2811

Prime Factorization of 66335

Prime factors of 66335 are 5, 13267. Prime factorization of 66335 in exponential form is:

66335 = 51 × 132671

Now multiplying the highest exponent prime factors to calculate the LCM of 66316 and 66335.

LCM(66316,66335) = 22 × 591 × 2811 × 51 × 132671
LCM(66316,66335) = 4399071860