What is the Least Common Multiple of 67658 and 67665?
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 67658 and 67665 is 4578078570.
LCM(67658,67665) = 4578078570
Least Common Multiple of 67658 and 67665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67658 and 67665, than apply into the LCM equation.
GCF(67658,67665) = 1
LCM(67658,67665) = ( 67658 × 67665) / 1
LCM(67658,67665) = 4578078570 / 1
LCM(67658,67665) = 4578078570
Least Common Multiple (LCM) of 67658 and 67665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67658 and 67665. First we will calculate the prime factors of 67658 and 67665.
Prime Factorization of 67658
Prime factors of 67658 are 2, 33829. Prime factorization of 67658 in exponential form is:
67658 = 21 × 338291
Prime Factorization of 67665
Prime factors of 67665 are 3, 5, 13, 347. Prime factorization of 67665 in exponential form is:
67665 = 31 × 51 × 131 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 67658 and 67665.
LCM(67658,67665) = 21 × 338291 × 31 × 51 × 131 × 3471
LCM(67658,67665) = 4578078570
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