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What is the Least Common Multiple of 69154 and 69159?

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 69154 and 69159 is 4782621486.

LCM(69154,69159) = 4782621486

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Least Common Multiple of 69154 and 69159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69154 and 69159, than apply into the LCM equation.

GCF(69154,69159) = 1
LCM(69154,69159) = ( 69154 × 69159) / 1
LCM(69154,69159) = 4782621486 / 1
LCM(69154,69159) = 4782621486

Least Common Multiple (LCM) of 69154 and 69159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69154 and 69159. First we will calculate the prime factors of 69154 and 69159.

Prime Factorization of 69154

Prime factors of 69154 are 2, 71, 487. Prime factorization of 69154 in exponential form is:

69154 = 21 × 711 × 4871

Prime Factorization of 69159

Prime factors of 69159 are 3, 23053. Prime factorization of 69159 in exponential form is:

69159 = 31 × 230531

Now multiplying the highest exponent prime factors to calculate the LCM of 69154 and 69159.

LCM(69154,69159) = 21 × 711 × 4871 × 31 × 230531
LCM(69154,69159) = 4782621486