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What is the Least Common Multiple of 93662 and 93680?

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 93662 and 93680 is 4387128080.

LCM(93662,93680) = 4387128080

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Least Common Multiple of 93662 and 93680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93662 and 93680, than apply into the LCM equation.

GCF(93662,93680) = 2
LCM(93662,93680) = ( 93662 × 93680) / 2
LCM(93662,93680) = 8774256160 / 2
LCM(93662,93680) = 4387128080

Least Common Multiple (LCM) of 93662 and 93680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93662 and 93680. First we will calculate the prime factors of 93662 and 93680.

Prime Factorization of 93662

Prime factors of 93662 are 2, 46831. Prime factorization of 93662 in exponential form is:

93662 = 21 × 468311

Prime Factorization of 93680

Prime factors of 93680 are 2, 5, 1171. Prime factorization of 93680 in exponential form is:

93680 = 24 × 51 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 93662 and 93680.

LCM(93662,93680) = 24 × 468311 × 51 × 11711
LCM(93662,93680) = 4387128080