What is the Least Common Multiple of 91127 and 91135?
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 91127 and 91135 is 8304859145.
LCM(91127,91135) = 8304859145
Least Common Multiple of 91127 and 91135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91127 and 91135, than apply into the LCM equation.
GCF(91127,91135) = 1
LCM(91127,91135) = ( 91127 × 91135) / 1
LCM(91127,91135) = 8304859145 / 1
LCM(91127,91135) = 8304859145
Least Common Multiple (LCM) of 91127 and 91135 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91127 and 91135. First we will calculate the prime factors of 91127 and 91135.
Prime Factorization of 91127
Prime factors of 91127 are 91127. Prime factorization of 91127 in exponential form is:
91127 = 911271
Prime Factorization of 91135
Prime factors of 91135 are 5, 11, 1657. Prime factorization of 91135 in exponential form is:
91135 = 51 × 111 × 16571
Now multiplying the highest exponent prime factors to calculate the LCM of 91127 and 91135.
LCM(91127,91135) = 911271 × 51 × 111 × 16571
LCM(91127,91135) = 8304859145
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