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What is the Least Common Multiple of 93950 and 93955?

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 93950 and 93955 is 1765414450.

LCM(93950,93955) = 1765414450

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Least Common Multiple of 93950 and 93955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93950 and 93955, than apply into the LCM equation.

GCF(93950,93955) = 5
LCM(93950,93955) = ( 93950 × 93955) / 5
LCM(93950,93955) = 8827072250 / 5
LCM(93950,93955) = 1765414450

Least Common Multiple (LCM) of 93950 and 93955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93950 and 93955. First we will calculate the prime factors of 93950 and 93955.

Prime Factorization of 93950

Prime factors of 93950 are 2, 5, 1879. Prime factorization of 93950 in exponential form is:

93950 = 21 × 52 × 18791

Prime Factorization of 93955

Prime factors of 93955 are 5, 19, 23, 43. Prime factorization of 93955 in exponential form is:

93955 = 51 × 191 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 93950 and 93955.

LCM(93950,93955) = 21 × 52 × 18791 × 191 × 231 × 431
LCM(93950,93955) = 1765414450