What is the Least Common Multiple of 91127 and 91143?
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 91143 is 8305588161.
LCM(91127,91143) = 8305588161
Least Common Multiple of 91127 and 91143 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 91143, than apply into the LCM equation.
GCF(91127,91143) = 1
LCM(91127,91143) = ( 91127 × 91143) / 1
LCM(91127,91143) = 8305588161 / 1
LCM(91127,91143) = 8305588161
Least Common Multiple (LCM) of 91127 and 91143 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91127 and 91143. First we will calculate the prime factors of 91127 and 91143.
Prime Factorization of 91127
Prime factors of 91127 are 91127. Prime factorization of 91127 in exponential form is:
91127 = 911271
Prime Factorization of 91143
Prime factors of 91143 are 3, 13, 19, 41. Prime factorization of 91143 in exponential form is:
91143 = 32 × 131 × 191 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 91127 and 91143.
LCM(91127,91143) = 911271 × 32 × 131 × 191 × 411
LCM(91127,91143) = 8305588161
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