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What is the Least Common Multiple of 8950 and 8961?

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 8950 and 8961 is 80200950.

LCM(8950,8961) = 80200950

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Least Common Multiple of 8950 and 8961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8950 and 8961, than apply into the LCM equation.

GCF(8950,8961) = 1
LCM(8950,8961) = ( 8950 × 8961) / 1
LCM(8950,8961) = 80200950 / 1
LCM(8950,8961) = 80200950

Least Common Multiple (LCM) of 8950 and 8961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8950 and 8961. First we will calculate the prime factors of 8950 and 8961.

Prime Factorization of 8950

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

8950 = 21 × 52 × 1791

Prime Factorization of 8961

Prime factors of 8961 are 3, 29, 103. Prime factorization of 8961 in exponential form is:

8961 = 31 × 291 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8950 and 8961.

LCM(8950,8961) = 21 × 52 × 1791 × 31 × 291 × 1031
LCM(8950,8961) = 80200950