What is the Least Common Multiple of 91921 and 91937?
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 91921 and 91937 is 8450940977.
LCM(91921,91937) = 8450940977
Least Common Multiple of 91921 and 91937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91921 and 91937, than apply into the LCM equation.
GCF(91921,91937) = 1
LCM(91921,91937) = ( 91921 × 91937) / 1
LCM(91921,91937) = 8450940977 / 1
LCM(91921,91937) = 8450940977
Least Common Multiple (LCM) of 91921 and 91937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91921 and 91937. First we will calculate the prime factors of 91921 and 91937.
Prime Factorization of 91921
Prime factors of 91921 are 91921. Prime factorization of 91921 in exponential form is:
91921 = 919211
Prime Factorization of 91937
Prime factors of 91937 are 89, 1033. Prime factorization of 91937 in exponential form is:
91937 = 891 × 10331
Now multiplying the highest exponent prime factors to calculate the LCM of 91921 and 91937.
LCM(91921,91937) = 919211 × 891 × 10331
LCM(91921,91937) = 8450940977
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