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What is the Least Common Multiple of 65354 and 65370?

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 65354 and 65370 is 2136095490.

LCM(65354,65370) = 2136095490

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Least Common Multiple of 65354 and 65370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65354 and 65370, than apply into the LCM equation.

GCF(65354,65370) = 2
LCM(65354,65370) = ( 65354 × 65370) / 2
LCM(65354,65370) = 4272190980 / 2
LCM(65354,65370) = 2136095490

Least Common Multiple (LCM) of 65354 and 65370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65354 and 65370. First we will calculate the prime factors of 65354 and 65370.

Prime Factorization of 65354

Prime factors of 65354 are 2, 41, 797. Prime factorization of 65354 in exponential form is:

65354 = 21 × 411 × 7971

Prime Factorization of 65370

Prime factors of 65370 are 2, 3, 5, 2179. Prime factorization of 65370 in exponential form is:

65370 = 21 × 31 × 51 × 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 65354 and 65370.

LCM(65354,65370) = 21 × 411 × 7971 × 31 × 51 × 21791
LCM(65354,65370) = 2136095490