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What is the Least Common Multiple of 68813 and 68828?

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 68813 and 68828 is 4736261164.

LCM(68813,68828) = 4736261164

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Least Common Multiple of 68813 and 68828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68813 and 68828, than apply into the LCM equation.

GCF(68813,68828) = 1
LCM(68813,68828) = ( 68813 × 68828) / 1
LCM(68813,68828) = 4736261164 / 1
LCM(68813,68828) = 4736261164

Least Common Multiple (LCM) of 68813 and 68828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68813 and 68828. First we will calculate the prime factors of 68813 and 68828.

Prime Factorization of 68813

Prime factors of 68813 are 68813. Prime factorization of 68813 in exponential form is:

68813 = 688131

Prime Factorization of 68828

Prime factors of 68828 are 2, 17207. Prime factorization of 68828 in exponential form is:

68828 = 22 × 172071

Now multiplying the highest exponent prime factors to calculate the LCM of 68813 and 68828.

LCM(68813,68828) = 688131 × 22 × 172071
LCM(68813,68828) = 4736261164