What is the Least Common Multiple of 89011 and 89018?
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 89011 and 89018 is 7923581198.
LCM(89011,89018) = 7923581198
Least Common Multiple of 89011 and 89018 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89011 and 89018, than apply into the LCM equation.
GCF(89011,89018) = 1
LCM(89011,89018) = ( 89011 × 89018) / 1
LCM(89011,89018) = 7923581198 / 1
LCM(89011,89018) = 7923581198
Least Common Multiple (LCM) of 89011 and 89018 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89011 and 89018. First we will calculate the prime factors of 89011 and 89018.
Prime Factorization of 89011
Prime factors of 89011 are 13, 41, 167. Prime factorization of 89011 in exponential form is:
89011 = 131 × 411 × 1671
Prime Factorization of 89018
Prime factors of 89018 are 2, 47, 947. Prime factorization of 89018 in exponential form is:
89018 = 21 × 471 × 9471
Now multiplying the highest exponent prime factors to calculate the LCM of 89011 and 89018.
LCM(89011,89018) = 131 × 411 × 1671 × 21 × 471 × 9471
LCM(89011,89018) = 7923581198
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