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What is the Least Common Multiple of 68037 and 68055?

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 68037 and 68055 is 1543419345.

LCM(68037,68055) = 1543419345

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Least Common Multiple of 68037 and 68055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68037 and 68055, than apply into the LCM equation.

GCF(68037,68055) = 3
LCM(68037,68055) = ( 68037 × 68055) / 3
LCM(68037,68055) = 4630258035 / 3
LCM(68037,68055) = 1543419345

Least Common Multiple (LCM) of 68037 and 68055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68037 and 68055. First we will calculate the prime factors of 68037 and 68055.

Prime Factorization of 68037

Prime factors of 68037 are 3, 22679. Prime factorization of 68037 in exponential form is:

68037 = 31 × 226791

Prime Factorization of 68055

Prime factors of 68055 are 3, 5, 13, 349. Prime factorization of 68055 in exponential form is:

68055 = 31 × 51 × 131 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 68037 and 68055.

LCM(68037,68055) = 31 × 226791 × 51 × 131 × 3491
LCM(68037,68055) = 1543419345