What is the Least Common Multiple of 68630 and 68645?
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 68630 and 68645 is 942221270.
LCM(68630,68645) = 942221270
Least Common Multiple of 68630 and 68645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68630 and 68645, than apply into the LCM equation.
GCF(68630,68645) = 5
LCM(68630,68645) = ( 68630 × 68645) / 5
LCM(68630,68645) = 4711106350 / 5
LCM(68630,68645) = 942221270
Least Common Multiple (LCM) of 68630 and 68645 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68630 and 68645. First we will calculate the prime factors of 68630 and 68645.
Prime Factorization of 68630
Prime factors of 68630 are 2, 5, 6863. Prime factorization of 68630 in exponential form is:
68630 = 21 × 51 × 68631
Prime Factorization of 68645
Prime factors of 68645 are 5, 13729. Prime factorization of 68645 in exponential form is:
68645 = 51 × 137291
Now multiplying the highest exponent prime factors to calculate the LCM of 68630 and 68645.
LCM(68630,68645) = 21 × 51 × 68631 × 137291
LCM(68630,68645) = 942221270
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