What is the Least Common Multiple of 91133 and 91139?
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 91133 and 91139 is 8305770487.
LCM(91133,91139) = 8305770487
Least Common Multiple of 91133 and 91139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91133 and 91139, than apply into the LCM equation.
GCF(91133,91139) = 1
LCM(91133,91139) = ( 91133 × 91139) / 1
LCM(91133,91139) = 8305770487 / 1
LCM(91133,91139) = 8305770487
Least Common Multiple (LCM) of 91133 and 91139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91133 and 91139. First we will calculate the prime factors of 91133 and 91139.
Prime Factorization of 91133
Prime factors of 91133 are 7, 47, 277. Prime factorization of 91133 in exponential form is:
91133 = 71 × 471 × 2771
Prime Factorization of 91139
Prime factors of 91139 are 91139. Prime factorization of 91139 in exponential form is:
91139 = 911391
Now multiplying the highest exponent prime factors to calculate the LCM of 91133 and 91139.
LCM(91133,91139) = 71 × 471 × 2771 × 911391
LCM(91133,91139) = 8305770487
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