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What is the Least Common Multiple of 10998 and 11005?

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 10998 and 11005 is 121032990.

LCM(10998,11005) = 121032990

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Least Common Multiple of 10998 and 11005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10998 and 11005, than apply into the LCM equation.

GCF(10998,11005) = 1
LCM(10998,11005) = ( 10998 × 11005) / 1
LCM(10998,11005) = 121032990 / 1
LCM(10998,11005) = 121032990

Least Common Multiple (LCM) of 10998 and 11005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10998 and 11005. First we will calculate the prime factors of 10998 and 11005.

Prime Factorization of 10998

Prime factors of 10998 are 2, 3, 13, 47. Prime factorization of 10998 in exponential form is:

10998 = 21 × 32 × 131 × 471

Prime Factorization of 11005

Prime factors of 11005 are 5, 31, 71. Prime factorization of 11005 in exponential form is:

11005 = 51 × 311 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 10998 and 11005.

LCM(10998,11005) = 21 × 32 × 131 × 471 × 51 × 311 × 711
LCM(10998,11005) = 121032990