What is the Least Common Multiple of 68686 and 68695?
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 68686 and 68695 is 4718384770.
LCM(68686,68695) = 4718384770
Least Common Multiple of 68686 and 68695 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68686 and 68695, than apply into the LCM equation.
GCF(68686,68695) = 1
LCM(68686,68695) = ( 68686 × 68695) / 1
LCM(68686,68695) = 4718384770 / 1
LCM(68686,68695) = 4718384770
Least Common Multiple (LCM) of 68686 and 68695 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68686 and 68695. First we will calculate the prime factors of 68686 and 68695.
Prime Factorization of 68686
Prime factors of 68686 are 2, 61, 563. Prime factorization of 68686 in exponential form is:
68686 = 21 × 611 × 5631
Prime Factorization of 68695
Prime factors of 68695 are 5, 11, 1249. Prime factorization of 68695 in exponential form is:
68695 = 51 × 111 × 12491
Now multiplying the highest exponent prime factors to calculate the LCM of 68686 and 68695.
LCM(68686,68695) = 21 × 611 × 5631 × 51 × 111 × 12491
LCM(68686,68695) = 4718384770
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