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What is the Least Common Multiple of 68634 and 68646?

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 68634 and 68646 is 785241594.

LCM(68634,68646) = 785241594

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Least Common Multiple of 68634 and 68646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68634 and 68646, than apply into the LCM equation.

GCF(68634,68646) = 6
LCM(68634,68646) = ( 68634 × 68646) / 6
LCM(68634,68646) = 4711449564 / 6
LCM(68634,68646) = 785241594

Least Common Multiple (LCM) of 68634 and 68646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68634 and 68646. First we will calculate the prime factors of 68634 and 68646.

Prime Factorization of 68634

Prime factors of 68634 are 2, 3, 31, 41. Prime factorization of 68634 in exponential form is:

68634 = 21 × 33 × 311 × 411

Prime Factorization of 68646

Prime factors of 68646 are 2, 3, 17, 673. Prime factorization of 68646 in exponential form is:

68646 = 21 × 31 × 171 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 68634 and 68646.

LCM(68634,68646) = 21 × 33 × 311 × 411 × 171 × 6731
LCM(68634,68646) = 785241594