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What is the Least Common Multiple of 69136 and 69150?

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 69136 and 69150 is 2390377200.

LCM(69136,69150) = 2390377200

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Least Common Multiple of 69136 and 69150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69136 and 69150, than apply into the LCM equation.

GCF(69136,69150) = 2
LCM(69136,69150) = ( 69136 × 69150) / 2
LCM(69136,69150) = 4780754400 / 2
LCM(69136,69150) = 2390377200

Least Common Multiple (LCM) of 69136 and 69150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69136 and 69150. First we will calculate the prime factors of 69136 and 69150.

Prime Factorization of 69136

Prime factors of 69136 are 2, 29, 149. Prime factorization of 69136 in exponential form is:

69136 = 24 × 291 × 1491

Prime Factorization of 69150

Prime factors of 69150 are 2, 3, 5, 461. Prime factorization of 69150 in exponential form is:

69150 = 21 × 31 × 52 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 69136 and 69150.

LCM(69136,69150) = 24 × 291 × 1491 × 31 × 52 × 4611
LCM(69136,69150) = 2390377200