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What is the Least Common Multiple of 93955 and 93967?

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 93955 and 93967 is 8828669485.

LCM(93955,93967) = 8828669485

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Least Common Multiple of 93955 and 93967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93955 and 93967, than apply into the LCM equation.

GCF(93955,93967) = 1
LCM(93955,93967) = ( 93955 × 93967) / 1
LCM(93955,93967) = 8828669485 / 1
LCM(93955,93967) = 8828669485

Least Common Multiple (LCM) of 93955 and 93967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93955 and 93967. First we will calculate the prime factors of 93955 and 93967.

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

Prime Factorization of 93967

Prime factors of 93967 are 93967. Prime factorization of 93967 in exponential form is:

93967 = 939671

Now multiplying the highest exponent prime factors to calculate the LCM of 93955 and 93967.

LCM(93955,93967) = 51 × 191 × 231 × 431 × 939671
LCM(93955,93967) = 8828669485