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What is the Least Common Multiple of 22049 and 22061?

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 22049 and 22061 is 486422989.

LCM(22049,22061) = 486422989

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Least Common Multiple of 22049 and 22061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22049 and 22061, than apply into the LCM equation.

GCF(22049,22061) = 1
LCM(22049,22061) = ( 22049 × 22061) / 1
LCM(22049,22061) = 486422989 / 1
LCM(22049,22061) = 486422989

Least Common Multiple (LCM) of 22049 and 22061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22049 and 22061. First we will calculate the prime factors of 22049 and 22061.

Prime Factorization of 22049

Prime factors of 22049 are 17, 1297. Prime factorization of 22049 in exponential form is:

22049 = 171 × 12971

Prime Factorization of 22061

Prime factors of 22061 are 13, 1697. Prime factorization of 22061 in exponential form is:

22061 = 131 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 22049 and 22061.

LCM(22049,22061) = 171 × 12971 × 131 × 16971
LCM(22049,22061) = 486422989