What is the Least Common Multiple of 91359 and 91370?
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 91359 and 91370 is 8347471830.
LCM(91359,91370) = 8347471830
Least Common Multiple of 91359 and 91370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91359 and 91370, than apply into the LCM equation.
GCF(91359,91370) = 1
LCM(91359,91370) = ( 91359 × 91370) / 1
LCM(91359,91370) = 8347471830 / 1
LCM(91359,91370) = 8347471830
Least Common Multiple (LCM) of 91359 and 91370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91359 and 91370. First we will calculate the prime factors of 91359 and 91370.
Prime Factorization of 91359
Prime factors of 91359 are 3, 10151. Prime factorization of 91359 in exponential form is:
91359 = 32 × 101511
Prime Factorization of 91370
Prime factors of 91370 are 2, 5, 9137. Prime factorization of 91370 in exponential form is:
91370 = 21 × 51 × 91371
Now multiplying the highest exponent prime factors to calculate the LCM of 91359 and 91370.
LCM(91359,91370) = 32 × 101511 × 21 × 51 × 91371
LCM(91359,91370) = 8347471830
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