What is the Least Common Multiple of 81136 and 81155?
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 81136 and 81155 is 6584592080.
LCM(81136,81155) = 6584592080
Least Common Multiple of 81136 and 81155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81136 and 81155, than apply into the LCM equation.
GCF(81136,81155) = 1
LCM(81136,81155) = ( 81136 × 81155) / 1
LCM(81136,81155) = 6584592080 / 1
LCM(81136,81155) = 6584592080
Least Common Multiple (LCM) of 81136 and 81155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81136 and 81155. First we will calculate the prime factors of 81136 and 81155.
Prime Factorization of 81136
Prime factors of 81136 are 2, 11, 461. Prime factorization of 81136 in exponential form is:
81136 = 24 × 111 × 4611
Prime Factorization of 81155
Prime factors of 81155 are 5, 16231. Prime factorization of 81155 in exponential form is:
81155 = 51 × 162311
Now multiplying the highest exponent prime factors to calculate the LCM of 81136 and 81155.
LCM(81136,81155) = 24 × 111 × 4611 × 51 × 162311
LCM(81136,81155) = 6584592080
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