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What is the Least Common Multiple of 69047 and 69060?

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 69060 is 4768385820.

LCM(69047,69060) = 4768385820

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Least Common Multiple of 69047 and 69060 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 69060, than apply into the LCM equation.

GCF(69047,69060) = 1
LCM(69047,69060) = ( 69047 × 69060) / 1
LCM(69047,69060) = 4768385820 / 1
LCM(69047,69060) = 4768385820

Least Common Multiple (LCM) of 69047 and 69060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69047 and 69060. First we will calculate the prime factors of 69047 and 69060.

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 69060

Prime factors of 69060 are 2, 3, 5, 1151. Prime factorization of 69060 in exponential form is:

69060 = 22 × 31 × 51 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 69047 and 69060.

LCM(69047,69060) = 111 × 62771 × 22 × 31 × 51 × 11511
LCM(69047,69060) = 4768385820