What is the Least Common Multiple of 91651 and 91670?
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 91651 and 91670 is 8401647170.
LCM(91651,91670) = 8401647170
Least Common Multiple of 91651 and 91670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91651 and 91670, than apply into the LCM equation.
GCF(91651,91670) = 1
LCM(91651,91670) = ( 91651 × 91670) / 1
LCM(91651,91670) = 8401647170 / 1
LCM(91651,91670) = 8401647170
Least Common Multiple (LCM) of 91651 and 91670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91651 and 91670. First we will calculate the prime factors of 91651 and 91670.
Prime Factorization of 91651
Prime factors of 91651 are 7, 13093. Prime factorization of 91651 in exponential form is:
91651 = 71 × 130931
Prime Factorization of 91670
Prime factors of 91670 are 2, 5, 89, 103. Prime factorization of 91670 in exponential form is:
91670 = 21 × 51 × 891 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 91651 and 91670.
LCM(91651,91670) = 71 × 130931 × 21 × 51 × 891 × 1031
LCM(91651,91670) = 8401647170
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