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What is the Least Common Multiple of 8932 and 8950?

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 8932 and 8950 is 39970700.

LCM(8932,8950) = 39970700

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Least Common Multiple of 8932 and 8950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8932 and 8950, than apply into the LCM equation.

GCF(8932,8950) = 2
LCM(8932,8950) = ( 8932 × 8950) / 2
LCM(8932,8950) = 79941400 / 2
LCM(8932,8950) = 39970700

Least Common Multiple (LCM) of 8932 and 8950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8932 and 8950. First we will calculate the prime factors of 8932 and 8950.

Prime Factorization of 8932

Prime factors of 8932 are 2, 7, 11, 29. Prime factorization of 8932 in exponential form is:

8932 = 22 × 71 × 111 × 291

Prime Factorization of 8950

Prime factors of 8950 are 2, 5, 179. Prime factorization of 8950 in exponential form is:

8950 = 21 × 52 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 8932 and 8950.

LCM(8932,8950) = 22 × 71 × 111 × 291 × 52 × 1791
LCM(8932,8950) = 39970700