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What is the Least Common Multiple of 59063 and 59068?

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 59063 and 59068 is 3488733284.

LCM(59063,59068) = 3488733284

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Least Common Multiple of 59063 and 59068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59063 and 59068, than apply into the LCM equation.

GCF(59063,59068) = 1
LCM(59063,59068) = ( 59063 × 59068) / 1
LCM(59063,59068) = 3488733284 / 1
LCM(59063,59068) = 3488733284

Least Common Multiple (LCM) of 59063 and 59068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59063 and 59068. First we will calculate the prime factors of 59063 and 59068.

Prime Factorization of 59063

Prime factors of 59063 are 59063. Prime factorization of 59063 in exponential form is:

59063 = 590631

Prime Factorization of 59068

Prime factors of 59068 are 2, 14767. Prime factorization of 59068 in exponential form is:

59068 = 22 × 147671

Now multiplying the highest exponent prime factors to calculate the LCM of 59063 and 59068.

LCM(59063,59068) = 590631 × 22 × 147671
LCM(59063,59068) = 3488733284