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What is the Least Common Multiple of 11071 and 11090?

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 11071 and 11090 is 122777390.

LCM(11071,11090) = 122777390

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Least Common Multiple of 11071 and 11090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11071 and 11090, than apply into the LCM equation.

GCF(11071,11090) = 1
LCM(11071,11090) = ( 11071 × 11090) / 1
LCM(11071,11090) = 122777390 / 1
LCM(11071,11090) = 122777390

Least Common Multiple (LCM) of 11071 and 11090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11071 and 11090. First we will calculate the prime factors of 11071 and 11090.

Prime Factorization of 11071

Prime factors of 11071 are 11071. Prime factorization of 11071 in exponential form is:

11071 = 110711

Prime Factorization of 11090

Prime factors of 11090 are 2, 5, 1109. Prime factorization of 11090 in exponential form is:

11090 = 21 × 51 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 11071 and 11090.

LCM(11071,11090) = 110711 × 21 × 51 × 11091
LCM(11071,11090) = 122777390