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What is the Least Common Multiple of 65441 and 65460?

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 65441 and 65460 is 4283767860.

LCM(65441,65460) = 4283767860

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Least Common Multiple of 65441 and 65460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65441 and 65460, than apply into the LCM equation.

GCF(65441,65460) = 1
LCM(65441,65460) = ( 65441 × 65460) / 1
LCM(65441,65460) = 4283767860 / 1
LCM(65441,65460) = 4283767860

Least Common Multiple (LCM) of 65441 and 65460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65441 and 65460. First we will calculate the prime factors of 65441 and 65460.

Prime Factorization of 65441

Prime factors of 65441 are 31, 2111. Prime factorization of 65441 in exponential form is:

65441 = 311 × 21111

Prime Factorization of 65460

Prime factors of 65460 are 2, 3, 5, 1091. Prime factorization of 65460 in exponential form is:

65460 = 22 × 31 × 51 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 65441 and 65460.

LCM(65441,65460) = 311 × 21111 × 22 × 31 × 51 × 10911
LCM(65441,65460) = 4283767860