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What is the Least Common Multiple of 11162 and 11179?

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 11162 and 11179 is 124779998.

LCM(11162,11179) = 124779998

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Least Common Multiple of 11162 and 11179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11162 and 11179, than apply into the LCM equation.

GCF(11162,11179) = 1
LCM(11162,11179) = ( 11162 × 11179) / 1
LCM(11162,11179) = 124779998 / 1
LCM(11162,11179) = 124779998

Least Common Multiple (LCM) of 11162 and 11179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11162 and 11179. First we will calculate the prime factors of 11162 and 11179.

Prime Factorization of 11162

Prime factors of 11162 are 2, 5581. Prime factorization of 11162 in exponential form is:

11162 = 21 × 55811

Prime Factorization of 11179

Prime factors of 11179 are 7, 1597. Prime factorization of 11179 in exponential form is:

11179 = 71 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 11162 and 11179.

LCM(11162,11179) = 21 × 55811 × 71 × 15971
LCM(11162,11179) = 124779998