What is the Least Common Multiple of 91064 and 91068?
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 91064 and 91068 is 2073254088.
LCM(91064,91068) = 2073254088
Least Common Multiple of 91064 and 91068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91064 and 91068, than apply into the LCM equation.
GCF(91064,91068) = 4
LCM(91064,91068) = ( 91064 × 91068) / 4
LCM(91064,91068) = 8293016352 / 4
LCM(91064,91068) = 2073254088
Least Common Multiple (LCM) of 91064 and 91068 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91064 and 91068. First we will calculate the prime factors of 91064 and 91068.
Prime Factorization of 91064
Prime factors of 91064 are 2, 11383. Prime factorization of 91064 in exponential form is:
91064 = 23 × 113831
Prime Factorization of 91068
Prime factors of 91068 are 2, 3, 7589. Prime factorization of 91068 in exponential form is:
91068 = 22 × 31 × 75891
Now multiplying the highest exponent prime factors to calculate the LCM of 91064 and 91068.
LCM(91064,91068) = 23 × 113831 × 31 × 75891
LCM(91064,91068) = 2073254088
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