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What is the Least Common Multiple of 11450 and 11455?

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 11450 and 11455 is 26231950.

LCM(11450,11455) = 26231950

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Least Common Multiple of 11450 and 11455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11450 and 11455, than apply into the LCM equation.

GCF(11450,11455) = 5
LCM(11450,11455) = ( 11450 × 11455) / 5
LCM(11450,11455) = 131159750 / 5
LCM(11450,11455) = 26231950

Least Common Multiple (LCM) of 11450 and 11455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11450 and 11455. First we will calculate the prime factors of 11450 and 11455.

Prime Factorization of 11450

Prime factors of 11450 are 2, 5, 229. Prime factorization of 11450 in exponential form is:

11450 = 21 × 52 × 2291

Prime Factorization of 11455

Prime factors of 11455 are 5, 29, 79. Prime factorization of 11455 in exponential form is:

11455 = 51 × 291 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 11450 and 11455.

LCM(11450,11455) = 21 × 52 × 2291 × 291 × 791
LCM(11450,11455) = 26231950