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What is the Least Common Multiple of 2123 and 2135?

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 2123 and 2135 is 4532605.

LCM(2123,2135) = 4532605

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Least Common Multiple of 2123 and 2135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2123 and 2135, than apply into the LCM equation.

GCF(2123,2135) = 1
LCM(2123,2135) = ( 2123 × 2135) / 1
LCM(2123,2135) = 4532605 / 1
LCM(2123,2135) = 4532605

Least Common Multiple (LCM) of 2123 and 2135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2123 and 2135. First we will calculate the prime factors of 2123 and 2135.

Prime Factorization of 2123

Prime factors of 2123 are 11, 193. Prime factorization of 2123 in exponential form is:

2123 = 111 × 1931

Prime Factorization of 2135

Prime factors of 2135 are 5, 7, 61. Prime factorization of 2135 in exponential form is:

2135 = 51 × 71 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 2123 and 2135.

LCM(2123,2135) = 111 × 1931 × 51 × 71 × 611
LCM(2123,2135) = 4532605