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What is the Least Common Multiple of 65356 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 65356 and 65370 is 2136160860.

LCM(65356,65370) = 2136160860

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Least Common Multiple of 65356 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 65356 and 65370, than apply into the LCM equation.

GCF(65356,65370) = 2
LCM(65356,65370) = ( 65356 × 65370) / 2
LCM(65356,65370) = 4272321720 / 2
LCM(65356,65370) = 2136160860

Least Common Multiple (LCM) of 65356 and 65370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65356 and 65370. First we will calculate the prime factors of 65356 and 65370.

Prime Factorization of 65356

Prime factors of 65356 are 2, 16339. Prime factorization of 65356 in exponential form is:

65356 = 22 × 163391

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 65356 and 65370.

LCM(65356,65370) = 22 × 163391 × 31 × 51 × 21791
LCM(65356,65370) = 2136160860