What is the Least Common Multiple of 89418 and 89423?
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 89418 and 89423 is 7996025814.
LCM(89418,89423) = 7996025814
Least Common Multiple of 89418 and 89423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89418 and 89423, than apply into the LCM equation.
GCF(89418,89423) = 1
LCM(89418,89423) = ( 89418 × 89423) / 1
LCM(89418,89423) = 7996025814 / 1
LCM(89418,89423) = 7996025814
Least Common Multiple (LCM) of 89418 and 89423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89418 and 89423. First we will calculate the prime factors of 89418 and 89423.
Prime Factorization of 89418
Prime factors of 89418 are 2, 3, 7, 2129. Prime factorization of 89418 in exponential form is:
89418 = 21 × 31 × 71 × 21291
Prime Factorization of 89423
Prime factors of 89423 are 223, 401. Prime factorization of 89423 in exponential form is:
89423 = 2231 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 89418 and 89423.
LCM(89418,89423) = 21 × 31 × 71 × 21291 × 2231 × 4011
LCM(89418,89423) = 7996025814
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