What is the Least Common Multiple of 89155 and 89169?
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 89155 and 89169 is 7949862195.
LCM(89155,89169) = 7949862195
Least Common Multiple of 89155 and 89169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89155 and 89169, than apply into the LCM equation.
GCF(89155,89169) = 1
LCM(89155,89169) = ( 89155 × 89169) / 1
LCM(89155,89169) = 7949862195 / 1
LCM(89155,89169) = 7949862195
Least Common Multiple (LCM) of 89155 and 89169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89155 and 89169. First we will calculate the prime factors of 89155 and 89169.
Prime Factorization of 89155
Prime factors of 89155 are 5, 11, 1621. Prime factorization of 89155 in exponential form is:
89155 = 51 × 111 × 16211
Prime Factorization of 89169
Prime factors of 89169 are 3, 29723. Prime factorization of 89169 in exponential form is:
89169 = 31 × 297231
Now multiplying the highest exponent prime factors to calculate the LCM of 89155 and 89169.
LCM(89155,89169) = 51 × 111 × 16211 × 31 × 297231
LCM(89155,89169) = 7949862195
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