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What is the Least Common Multiple of 68815 and 68821?

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 68815 and 68821 is 4735917115.

LCM(68815,68821) = 4735917115

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Least Common Multiple of 68815 and 68821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68815 and 68821, than apply into the LCM equation.

GCF(68815,68821) = 1
LCM(68815,68821) = ( 68815 × 68821) / 1
LCM(68815,68821) = 4735917115 / 1
LCM(68815,68821) = 4735917115

Least Common Multiple (LCM) of 68815 and 68821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68815 and 68821. First we will calculate the prime factors of 68815 and 68821.

Prime Factorization of 68815

Prime factors of 68815 are 5, 13763. Prime factorization of 68815 in exponential form is:

68815 = 51 × 137631

Prime Factorization of 68821

Prime factors of 68821 are 68821. Prime factorization of 68821 in exponential form is:

68821 = 688211

Now multiplying the highest exponent prime factors to calculate the LCM of 68815 and 68821.

LCM(68815,68821) = 51 × 137631 × 688211
LCM(68815,68821) = 4735917115