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What is the Least Common Multiple of 22046 and 22060?

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 22046 and 22060 is 243167380.

LCM(22046,22060) = 243167380

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Least Common Multiple of 22046 and 22060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22046 and 22060, than apply into the LCM equation.

GCF(22046,22060) = 2
LCM(22046,22060) = ( 22046 × 22060) / 2
LCM(22046,22060) = 486334760 / 2
LCM(22046,22060) = 243167380

Least Common Multiple (LCM) of 22046 and 22060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22046 and 22060. First we will calculate the prime factors of 22046 and 22060.

Prime Factorization of 22046

Prime factors of 22046 are 2, 73, 151. Prime factorization of 22046 in exponential form is:

22046 = 21 × 731 × 1511

Prime Factorization of 22060

Prime factors of 22060 are 2, 5, 1103. Prime factorization of 22060 in exponential form is:

22060 = 22 × 51 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 22046 and 22060.

LCM(22046,22060) = 22 × 731 × 1511 × 51 × 11031
LCM(22046,22060) = 243167380