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What is the Least Common Multiple of 93947 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 93947 and 93967 is 8827917749.

LCM(93947,93967) = 8827917749

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Least Common Multiple of 93947 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 93947 and 93967, than apply into the LCM equation.

GCF(93947,93967) = 1
LCM(93947,93967) = ( 93947 × 93967) / 1
LCM(93947,93967) = 8827917749 / 1
LCM(93947,93967) = 8827917749

Least Common Multiple (LCM) of 93947 and 93967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93947 and 93967. First we will calculate the prime factors of 93947 and 93967.

Prime Factorization of 93947

Prime factors of 93947 are 7, 13421. Prime factorization of 93947 in exponential form is:

93947 = 71 × 134211

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 93947 and 93967.

LCM(93947,93967) = 71 × 134211 × 939671
LCM(93947,93967) = 8827917749