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What is the Least Common Multiple of 68238 and 68253?

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 68238 and 68253 is 1552482738.

LCM(68238,68253) = 1552482738

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Least Common Multiple of 68238 and 68253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68238 and 68253, than apply into the LCM equation.

GCF(68238,68253) = 3
LCM(68238,68253) = ( 68238 × 68253) / 3
LCM(68238,68253) = 4657448214 / 3
LCM(68238,68253) = 1552482738

Least Common Multiple (LCM) of 68238 and 68253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68238 and 68253. First we will calculate the prime factors of 68238 and 68253.

Prime Factorization of 68238

Prime factors of 68238 are 2, 3, 17, 223. Prime factorization of 68238 in exponential form is:

68238 = 21 × 32 × 171 × 2231

Prime Factorization of 68253

Prime factors of 68253 are 3, 22751. Prime factorization of 68253 in exponential form is:

68253 = 31 × 227511

Now multiplying the highest exponent prime factors to calculate the LCM of 68238 and 68253.

LCM(68238,68253) = 21 × 32 × 171 × 2231 × 227511
LCM(68238,68253) = 1552482738