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What is the Least Common Multiple of 68227 and 68244?

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 68227 and 68244 is 4656083388.

LCM(68227,68244) = 4656083388

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Least Common Multiple of 68227 and 68244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68227 and 68244, than apply into the LCM equation.

GCF(68227,68244) = 1
LCM(68227,68244) = ( 68227 × 68244) / 1
LCM(68227,68244) = 4656083388 / 1
LCM(68227,68244) = 4656083388

Least Common Multiple (LCM) of 68227 and 68244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68227 and 68244. First we will calculate the prime factors of 68227 and 68244.

Prime Factorization of 68227

Prime factors of 68227 are 68227. Prime factorization of 68227 in exponential form is:

68227 = 682271

Prime Factorization of 68244

Prime factors of 68244 are 2, 3, 11, 47. Prime factorization of 68244 in exponential form is:

68244 = 22 × 31 × 112 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 68227 and 68244.

LCM(68227,68244) = 682271 × 22 × 31 × 112 × 471
LCM(68227,68244) = 4656083388