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What is the Least Common Multiple of 68820 and 68826?

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 68820 and 68826 is 789434220.

LCM(68820,68826) = 789434220

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Least Common Multiple of 68820 and 68826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68820 and 68826, than apply into the LCM equation.

GCF(68820,68826) = 6
LCM(68820,68826) = ( 68820 × 68826) / 6
LCM(68820,68826) = 4736605320 / 6
LCM(68820,68826) = 789434220

Least Common Multiple (LCM) of 68820 and 68826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68820 and 68826. First we will calculate the prime factors of 68820 and 68826.

Prime Factorization of 68820

Prime factors of 68820 are 2, 3, 5, 31, 37. Prime factorization of 68820 in exponential form is:

68820 = 22 × 31 × 51 × 311 × 371

Prime Factorization of 68826

Prime factors of 68826 are 2, 3, 11471. Prime factorization of 68826 in exponential form is:

68826 = 21 × 31 × 114711

Now multiplying the highest exponent prime factors to calculate the LCM of 68820 and 68826.

LCM(68820,68826) = 22 × 31 × 51 × 311 × 371 × 114711
LCM(68820,68826) = 789434220