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What is the Least Common Multiple of 91656 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 91656 and 91670 is 4201052760.

LCM(91656,91670) = 4201052760

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Least Common Multiple of 91656 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 91656 and 91670, than apply into the LCM equation.

GCF(91656,91670) = 2
LCM(91656,91670) = ( 91656 × 91670) / 2
LCM(91656,91670) = 8402105520 / 2
LCM(91656,91670) = 4201052760

Least Common Multiple (LCM) of 91656 and 91670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91656 and 91670. First we will calculate the prime factors of 91656 and 91670.

Prime Factorization of 91656

Prime factors of 91656 are 2, 3, 19, 67. Prime factorization of 91656 in exponential form is:

91656 = 23 × 32 × 191 × 671

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 91656 and 91670.

LCM(91656,91670) = 23 × 32 × 191 × 671 × 51 × 891 × 1031
LCM(91656,91670) = 4201052760