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What is the Least Common Multiple of 91734 and 91740?

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 91734 and 91740 is 1402612860.

LCM(91734,91740) = 1402612860

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Least Common Multiple of 91734 and 91740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91734 and 91740, than apply into the LCM equation.

GCF(91734,91740) = 6
LCM(91734,91740) = ( 91734 × 91740) / 6
LCM(91734,91740) = 8415677160 / 6
LCM(91734,91740) = 1402612860

Least Common Multiple (LCM) of 91734 and 91740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91734 and 91740. First we will calculate the prime factors of 91734 and 91740.

Prime Factorization of 91734

Prime factors of 91734 are 2, 3, 15289. Prime factorization of 91734 in exponential form is:

91734 = 21 × 31 × 152891

Prime Factorization of 91740

Prime factors of 91740 are 2, 3, 5, 11, 139. Prime factorization of 91740 in exponential form is:

91740 = 22 × 31 × 51 × 111 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 91734 and 91740.

LCM(91734,91740) = 22 × 31 × 152891 × 51 × 111 × 1391
LCM(91734,91740) = 1402612860