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What is the Least Common Multiple of 68612 and 68630?

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 68612 and 68630 is 2354420780.

LCM(68612,68630) = 2354420780

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Least Common Multiple of 68612 and 68630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68612 and 68630, than apply into the LCM equation.

GCF(68612,68630) = 2
LCM(68612,68630) = ( 68612 × 68630) / 2
LCM(68612,68630) = 4708841560 / 2
LCM(68612,68630) = 2354420780

Least Common Multiple (LCM) of 68612 and 68630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68612 and 68630. First we will calculate the prime factors of 68612 and 68630.

Prime Factorization of 68612

Prime factors of 68612 are 2, 17, 1009. Prime factorization of 68612 in exponential form is:

68612 = 22 × 171 × 10091

Prime Factorization of 68630

Prime factors of 68630 are 2, 5, 6863. Prime factorization of 68630 in exponential form is:

68630 = 21 × 51 × 68631

Now multiplying the highest exponent prime factors to calculate the LCM of 68612 and 68630.

LCM(68612,68630) = 22 × 171 × 10091 × 51 × 68631
LCM(68612,68630) = 2354420780