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What is the Least Common Multiple of 65472 and 65489?

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 65472 and 65489 is 4287695808.

LCM(65472,65489) = 4287695808

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Least Common Multiple of 65472 and 65489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65472 and 65489, than apply into the LCM equation.

GCF(65472,65489) = 1
LCM(65472,65489) = ( 65472 × 65489) / 1
LCM(65472,65489) = 4287695808 / 1
LCM(65472,65489) = 4287695808

Least Common Multiple (LCM) of 65472 and 65489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65472 and 65489. First we will calculate the prime factors of 65472 and 65489.

Prime Factorization of 65472

Prime factors of 65472 are 2, 3, 11, 31. Prime factorization of 65472 in exponential form is:

65472 = 26 × 31 × 111 × 311

Prime Factorization of 65489

Prime factors of 65489 are 43, 1523. Prime factorization of 65489 in exponential form is:

65489 = 431 × 15231

Now multiplying the highest exponent prime factors to calculate the LCM of 65472 and 65489.

LCM(65472,65489) = 26 × 31 × 111 × 311 × 431 × 15231
LCM(65472,65489) = 4287695808