What is the Least Common Multiple of 90670 and 90678?
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 90670 and 90678 is 4110887130.
LCM(90670,90678) = 4110887130
Least Common Multiple of 90670 and 90678 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90670 and 90678, than apply into the LCM equation.
GCF(90670,90678) = 2
LCM(90670,90678) = ( 90670 × 90678) / 2
LCM(90670,90678) = 8221774260 / 2
LCM(90670,90678) = 4110887130
Least Common Multiple (LCM) of 90670 and 90678 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90670 and 90678. First we will calculate the prime factors of 90670 and 90678.
Prime Factorization of 90670
Prime factors of 90670 are 2, 5, 9067. Prime factorization of 90670 in exponential form is:
90670 = 21 × 51 × 90671
Prime Factorization of 90678
Prime factors of 90678 are 2, 3, 7, 17, 127. Prime factorization of 90678 in exponential form is:
90678 = 21 × 31 × 71 × 171 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 90670 and 90678.
LCM(90670,90678) = 21 × 51 × 90671 × 31 × 71 × 171 × 1271
LCM(90670,90678) = 4110887130
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