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What is the Least Common Multiple of 91742 and 91762?

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 91742 and 91762 is 4209214702.

LCM(91742,91762) = 4209214702

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Least Common Multiple of 91742 and 91762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91742 and 91762, than apply into the LCM equation.

GCF(91742,91762) = 2
LCM(91742,91762) = ( 91742 × 91762) / 2
LCM(91742,91762) = 8418429404 / 2
LCM(91742,91762) = 4209214702

Least Common Multiple (LCM) of 91742 and 91762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91742 and 91762. First we will calculate the prime factors of 91742 and 91762.

Prime Factorization of 91742

Prime factors of 91742 are 2, 7, 6553. Prime factorization of 91742 in exponential form is:

91742 = 21 × 71 × 65531

Prime Factorization of 91762

Prime factors of 91762 are 2, 11, 43, 97. Prime factorization of 91762 in exponential form is:

91762 = 21 × 111 × 431 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 91742 and 91762.

LCM(91742,91762) = 21 × 71 × 65531 × 111 × 431 × 971
LCM(91742,91762) = 4209214702