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What is the Least Common Multiple of 93002 and 93020?

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 93002 and 93020 is 4325523020.

LCM(93002,93020) = 4325523020

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Least Common Multiple of 93002 and 93020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93002 and 93020, than apply into the LCM equation.

GCF(93002,93020) = 2
LCM(93002,93020) = ( 93002 × 93020) / 2
LCM(93002,93020) = 8651046040 / 2
LCM(93002,93020) = 4325523020

Least Common Multiple (LCM) of 93002 and 93020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93002 and 93020. First we will calculate the prime factors of 93002 and 93020.

Prime Factorization of 93002

Prime factors of 93002 are 2, 7, 13, 73. Prime factorization of 93002 in exponential form is:

93002 = 21 × 72 × 131 × 731

Prime Factorization of 93020

Prime factors of 93020 are 2, 5, 4651. Prime factorization of 93020 in exponential form is:

93020 = 22 × 51 × 46511

Now multiplying the highest exponent prime factors to calculate the LCM of 93002 and 93020.

LCM(93002,93020) = 22 × 72 × 131 × 731 × 51 × 46511
LCM(93002,93020) = 4325523020