What is the Least Common Multiple of 91303 and 91307?
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 91303 and 91307 is 8336603021.
LCM(91303,91307) = 8336603021
Least Common Multiple of 91303 and 91307 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91303 and 91307, than apply into the LCM equation.
GCF(91303,91307) = 1
LCM(91303,91307) = ( 91303 × 91307) / 1
LCM(91303,91307) = 8336603021 / 1
LCM(91303,91307) = 8336603021
Least Common Multiple (LCM) of 91303 and 91307 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91303 and 91307. First we will calculate the prime factors of 91303 and 91307.
Prime Factorization of 91303
Prime factors of 91303 are 91303. Prime factorization of 91303 in exponential form is:
91303 = 913031
Prime Factorization of 91307
Prime factors of 91307 are 17, 41, 131. Prime factorization of 91307 in exponential form is:
91307 = 171 × 411 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 91303 and 91307.
LCM(91303,91307) = 913031 × 171 × 411 × 1311
LCM(91303,91307) = 8336603021
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