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What is the Least Common Multiple of 65208 and 65212?

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 65208 and 65212 is 1063086024.

LCM(65208,65212) = 1063086024

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Least Common Multiple of 65208 and 65212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65208 and 65212, than apply into the LCM equation.

GCF(65208,65212) = 4
LCM(65208,65212) = ( 65208 × 65212) / 4
LCM(65208,65212) = 4252344096 / 4
LCM(65208,65212) = 1063086024

Least Common Multiple (LCM) of 65208 and 65212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65208 and 65212. First we will calculate the prime factors of 65208 and 65212.

Prime Factorization of 65208

Prime factors of 65208 are 2, 3, 11, 13, 19. Prime factorization of 65208 in exponential form is:

65208 = 23 × 31 × 111 × 131 × 191

Prime Factorization of 65212

Prime factors of 65212 are 2, 7, 17, 137. Prime factorization of 65212 in exponential form is:

65212 = 22 × 71 × 171 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 65208 and 65212.

LCM(65208,65212) = 23 × 31 × 111 × 131 × 191 × 71 × 171 × 1371
LCM(65208,65212) = 1063086024