What is the Least Common Multiple of 88423 and 88436?
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 88423 and 88436 is 7819776428.
LCM(88423,88436) = 7819776428
Least Common Multiple of 88423 and 88436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88423 and 88436, than apply into the LCM equation.
GCF(88423,88436) = 1
LCM(88423,88436) = ( 88423 × 88436) / 1
LCM(88423,88436) = 7819776428 / 1
LCM(88423,88436) = 7819776428
Least Common Multiple (LCM) of 88423 and 88436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88423 and 88436. First we will calculate the prime factors of 88423 and 88436.
Prime Factorization of 88423
Prime factors of 88423 are 88423. Prime factorization of 88423 in exponential form is:
88423 = 884231
Prime Factorization of 88436
Prime factors of 88436 are 2, 22109. Prime factorization of 88436 in exponential form is:
88436 = 22 × 221091
Now multiplying the highest exponent prime factors to calculate the LCM of 88423 and 88436.
LCM(88423,88436) = 884231 × 22 × 221091
LCM(88423,88436) = 7819776428
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