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What is the Least Common Multiple of 93005 and 93021?

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 93005 and 93021 is 8651418105.

LCM(93005,93021) = 8651418105

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Least Common Multiple of 93005 and 93021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93005 and 93021, than apply into the LCM equation.

GCF(93005,93021) = 1
LCM(93005,93021) = ( 93005 × 93021) / 1
LCM(93005,93021) = 8651418105 / 1
LCM(93005,93021) = 8651418105

Least Common Multiple (LCM) of 93005 and 93021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93005 and 93021. First we will calculate the prime factors of 93005 and 93021.

Prime Factorization of 93005

Prime factors of 93005 are 5, 11, 19, 89. Prime factorization of 93005 in exponential form is:

93005 = 51 × 111 × 191 × 891

Prime Factorization of 93021

Prime factors of 93021 are 3, 101, 307. Prime factorization of 93021 in exponential form is:

93021 = 31 × 1011 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 93005 and 93021.

LCM(93005,93021) = 51 × 111 × 191 × 891 × 31 × 1011 × 3071
LCM(93005,93021) = 8651418105