What is the Least Common Multiple of 89996 and 90011?
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 89996 and 90011 is 8100629956.
LCM(89996,90011) = 8100629956
Least Common Multiple of 89996 and 90011 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89996 and 90011, than apply into the LCM equation.
GCF(89996,90011) = 1
LCM(89996,90011) = ( 89996 × 90011) / 1
LCM(89996,90011) = 8100629956 / 1
LCM(89996,90011) = 8100629956
Least Common Multiple (LCM) of 89996 and 90011 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89996 and 90011. First we will calculate the prime factors of 89996 and 90011.
Prime Factorization of 89996
Prime factors of 89996 are 2, 149, 151. Prime factorization of 89996 in exponential form is:
89996 = 22 × 1491 × 1511
Prime Factorization of 90011
Prime factors of 90011 are 90011. Prime factorization of 90011 in exponential form is:
90011 = 900111
Now multiplying the highest exponent prime factors to calculate the LCM of 89996 and 90011.
LCM(89996,90011) = 22 × 1491 × 1511 × 900111
LCM(89996,90011) = 8100629956
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