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What is the Least Common Multiple of 91707 and 91715?

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 91707 and 91715 is 8410907505.

LCM(91707,91715) = 8410907505

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Least Common Multiple of 91707 and 91715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91707 and 91715, than apply into the LCM equation.

GCF(91707,91715) = 1
LCM(91707,91715) = ( 91707 × 91715) / 1
LCM(91707,91715) = 8410907505 / 1
LCM(91707,91715) = 8410907505

Least Common Multiple (LCM) of 91707 and 91715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91707 and 91715. First we will calculate the prime factors of 91707 and 91715.

Prime Factorization of 91707

Prime factors of 91707 are 3, 7, 11, 397. Prime factorization of 91707 in exponential form is:

91707 = 31 × 71 × 111 × 3971

Prime Factorization of 91715

Prime factors of 91715 are 5, 13, 17, 83. Prime factorization of 91715 in exponential form is:

91715 = 51 × 131 × 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 91707 and 91715.

LCM(91707,91715) = 31 × 71 × 111 × 3971 × 51 × 131 × 171 × 831
LCM(91707,91715) = 8410907505