What is the Least Common Multiple of 91137 and 91147?
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 91137 and 91147 is 8306864139.
LCM(91137,91147) = 8306864139
Least Common Multiple of 91137 and 91147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91137 and 91147, than apply into the LCM equation.
GCF(91137,91147) = 1
LCM(91137,91147) = ( 91137 × 91147) / 1
LCM(91137,91147) = 8306864139 / 1
LCM(91137,91147) = 8306864139
Least Common Multiple (LCM) of 91137 and 91147 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91137 and 91147. First we will calculate the prime factors of 91137 and 91147.
Prime Factorization of 91137
Prime factors of 91137 are 3, 17, 1787. Prime factorization of 91137 in exponential form is:
91137 = 31 × 171 × 17871
Prime Factorization of 91147
Prime factors of 91147 are 7, 29, 449. Prime factorization of 91147 in exponential form is:
91147 = 71 × 291 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 91137 and 91147.
LCM(91137,91147) = 31 × 171 × 17871 × 71 × 291 × 4491
LCM(91137,91147) = 8306864139
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