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What is the Least Common Multiple of 69047 and 69066?

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 69047 and 69066 is 4768800102.

LCM(69047,69066) = 4768800102

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Least Common Multiple of 69047 and 69066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69047 and 69066, than apply into the LCM equation.

GCF(69047,69066) = 1
LCM(69047,69066) = ( 69047 × 69066) / 1
LCM(69047,69066) = 4768800102 / 1
LCM(69047,69066) = 4768800102

Least Common Multiple (LCM) of 69047 and 69066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69047 and 69066. First we will calculate the prime factors of 69047 and 69066.

Prime Factorization of 69047

Prime factors of 69047 are 11, 6277. Prime factorization of 69047 in exponential form is:

69047 = 111 × 62771

Prime Factorization of 69066

Prime factors of 69066 are 2, 3, 1279. Prime factorization of 69066 in exponential form is:

69066 = 21 × 33 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 69047 and 69066.

LCM(69047,69066) = 111 × 62771 × 21 × 33 × 12791
LCM(69047,69066) = 4768800102