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What is the Least Common Multiple of 91722 and 91735?

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 91722 and 91735 is 8414117670.

LCM(91722,91735) = 8414117670

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Least Common Multiple of 91722 and 91735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91722 and 91735, than apply into the LCM equation.

GCF(91722,91735) = 1
LCM(91722,91735) = ( 91722 × 91735) / 1
LCM(91722,91735) = 8414117670 / 1
LCM(91722,91735) = 8414117670

Least Common Multiple (LCM) of 91722 and 91735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91722 and 91735. First we will calculate the prime factors of 91722 and 91735.

Prime Factorization of 91722

Prime factors of 91722 are 2, 3, 15287. Prime factorization of 91722 in exponential form is:

91722 = 21 × 31 × 152871

Prime Factorization of 91735

Prime factors of 91735 are 5, 7, 2621. Prime factorization of 91735 in exponential form is:

91735 = 51 × 71 × 26211

Now multiplying the highest exponent prime factors to calculate the LCM of 91722 and 91735.

LCM(91722,91735) = 21 × 31 × 152871 × 51 × 71 × 26211
LCM(91722,91735) = 8414117670