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What is the Least Common Multiple of 2118 and 2130?

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 2118 and 2130 is 751890.

LCM(2118,2130) = 751890

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Least Common Multiple of 2118 and 2130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2118 and 2130, than apply into the LCM equation.

GCF(2118,2130) = 6
LCM(2118,2130) = ( 2118 × 2130) / 6
LCM(2118,2130) = 4511340 / 6
LCM(2118,2130) = 751890

Least Common Multiple (LCM) of 2118 and 2130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2118 and 2130. First we will calculate the prime factors of 2118 and 2130.

Prime Factorization of 2118

Prime factors of 2118 are 2, 3, 353. Prime factorization of 2118 in exponential form is:

2118 = 21 × 31 × 3531

Prime Factorization of 2130

Prime factors of 2130 are 2, 3, 5, 71. Prime factorization of 2130 in exponential form is:

2130 = 21 × 31 × 51 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 2118 and 2130.

LCM(2118,2130) = 21 × 31 × 3531 × 51 × 711
LCM(2118,2130) = 751890