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What is the Least Common Multiple of 91702 and 91720?

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 91702 and 91720 is 4205453720.

LCM(91702,91720) = 4205453720

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Least Common Multiple of 91702 and 91720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91702 and 91720, than apply into the LCM equation.

GCF(91702,91720) = 2
LCM(91702,91720) = ( 91702 × 91720) / 2
LCM(91702,91720) = 8410907440 / 2
LCM(91702,91720) = 4205453720

Least Common Multiple (LCM) of 91702 and 91720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91702 and 91720. First we will calculate the prime factors of 91702 and 91720.

Prime Factorization of 91702

Prime factors of 91702 are 2, 13, 3527. Prime factorization of 91702 in exponential form is:

91702 = 21 × 131 × 35271

Prime Factorization of 91720

Prime factors of 91720 are 2, 5, 2293. Prime factorization of 91720 in exponential form is:

91720 = 23 × 51 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 91702 and 91720.

LCM(91702,91720) = 23 × 131 × 35271 × 51 × 22931
LCM(91702,91720) = 4205453720