What is the Least Common Multiple of 91694 and 91703?
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 91694 and 91703 is 8408614882.
LCM(91694,91703) = 8408614882
Least Common Multiple of 91694 and 91703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91694 and 91703, than apply into the LCM equation.
GCF(91694,91703) = 1
LCM(91694,91703) = ( 91694 × 91703) / 1
LCM(91694,91703) = 8408614882 / 1
LCM(91694,91703) = 8408614882
Least Common Multiple (LCM) of 91694 and 91703 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91694 and 91703. First we will calculate the prime factors of 91694 and 91703.
Prime Factorization of 91694
Prime factors of 91694 are 2, 19, 127. Prime factorization of 91694 in exponential form is:
91694 = 21 × 192 × 1271
Prime Factorization of 91703
Prime factors of 91703 are 91703. Prime factorization of 91703 in exponential form is:
91703 = 917031
Now multiplying the highest exponent prime factors to calculate the LCM of 91694 and 91703.
LCM(91694,91703) = 21 × 192 × 1271 × 917031
LCM(91694,91703) = 8408614882
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