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What is the Least Common Multiple of 69147 and 69157?

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 69147 and 69157 is 4781999079.

LCM(69147,69157) = 4781999079

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Least Common Multiple of 69147 and 69157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69147 and 69157, than apply into the LCM equation.

GCF(69147,69157) = 1
LCM(69147,69157) = ( 69147 × 69157) / 1
LCM(69147,69157) = 4781999079 / 1
LCM(69147,69157) = 4781999079

Least Common Multiple (LCM) of 69147 and 69157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69147 and 69157. First we will calculate the prime factors of 69147 and 69157.

Prime Factorization of 69147

Prime factors of 69147 are 3, 13, 197. Prime factorization of 69147 in exponential form is:

69147 = 33 × 131 × 1971

Prime Factorization of 69157

Prime factors of 69157 are 11, 6287. Prime factorization of 69157 in exponential form is:

69157 = 111 × 62871

Now multiplying the highest exponent prime factors to calculate the LCM of 69147 and 69157.

LCM(69147,69157) = 33 × 131 × 1971 × 111 × 62871
LCM(69147,69157) = 4781999079