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What is the Least Common Multiple of 65240 and 65251?

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 65240 and 65251 is 4256975240.

LCM(65240,65251) = 4256975240

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Least Common Multiple of 65240 and 65251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65240 and 65251, than apply into the LCM equation.

GCF(65240,65251) = 1
LCM(65240,65251) = ( 65240 × 65251) / 1
LCM(65240,65251) = 4256975240 / 1
LCM(65240,65251) = 4256975240

Least Common Multiple (LCM) of 65240 and 65251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65240 and 65251. First we will calculate the prime factors of 65240 and 65251.

Prime Factorization of 65240

Prime factors of 65240 are 2, 5, 7, 233. Prime factorization of 65240 in exponential form is:

65240 = 23 × 51 × 71 × 2331

Prime Factorization of 65251

Prime factors of 65251 are 23, 2837. Prime factorization of 65251 in exponential form is:

65251 = 231 × 28371

Now multiplying the highest exponent prime factors to calculate the LCM of 65240 and 65251.

LCM(65240,65251) = 23 × 51 × 71 × 2331 × 231 × 28371
LCM(65240,65251) = 4256975240