What is the Least Common Multiple of 89912 and 89918?
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 89912 and 89918 is 4042353608.
LCM(89912,89918) = 4042353608
Least Common Multiple of 89912 and 89918 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89912 and 89918, than apply into the LCM equation.
GCF(89912,89918) = 2
LCM(89912,89918) = ( 89912 × 89918) / 2
LCM(89912,89918) = 8084707216 / 2
LCM(89912,89918) = 4042353608
Least Common Multiple (LCM) of 89912 and 89918 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89912 and 89918. First we will calculate the prime factors of 89912 and 89918.
Prime Factorization of 89912
Prime factors of 89912 are 2, 11239. Prime factorization of 89912 in exponential form is:
89912 = 23 × 112391
Prime Factorization of 89918
Prime factors of 89918 are 2, 44959. Prime factorization of 89918 in exponential form is:
89918 = 21 × 449591
Now multiplying the highest exponent prime factors to calculate the LCM of 89912 and 89918.
LCM(89912,89918) = 23 × 112391 × 449591
LCM(89912,89918) = 4042353608
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