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What is the Least Common Multiple of 45706 and 45715?

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 45706 and 45715 is 2089449790.

LCM(45706,45715) = 2089449790

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Least Common Multiple of 45706 and 45715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45706 and 45715, than apply into the LCM equation.

GCF(45706,45715) = 1
LCM(45706,45715) = ( 45706 × 45715) / 1
LCM(45706,45715) = 2089449790 / 1
LCM(45706,45715) = 2089449790

Least Common Multiple (LCM) of 45706 and 45715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45706 and 45715. First we will calculate the prime factors of 45706 and 45715.

Prime Factorization of 45706

Prime factors of 45706 are 2, 22853. Prime factorization of 45706 in exponential form is:

45706 = 21 × 228531

Prime Factorization of 45715

Prime factors of 45715 are 5, 41, 223. Prime factorization of 45715 in exponential form is:

45715 = 51 × 411 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 45706 and 45715.

LCM(45706,45715) = 21 × 228531 × 51 × 411 × 2231
LCM(45706,45715) = 2089449790