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What is the Least Common Multiple of 9020 and 9026?

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 9020 and 9026 is 40707260.

LCM(9020,9026) = 40707260

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Least Common Multiple of 9020 and 9026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9020 and 9026, than apply into the LCM equation.

GCF(9020,9026) = 2
LCM(9020,9026) = ( 9020 × 9026) / 2
LCM(9020,9026) = 81414520 / 2
LCM(9020,9026) = 40707260

Least Common Multiple (LCM) of 9020 and 9026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9020 and 9026. First we will calculate the prime factors of 9020 and 9026.

Prime Factorization of 9020

Prime factors of 9020 are 2, 5, 11, 41. Prime factorization of 9020 in exponential form is:

9020 = 22 × 51 × 111 × 411

Prime Factorization of 9026

Prime factors of 9026 are 2, 4513. Prime factorization of 9026 in exponential form is:

9026 = 21 × 45131

Now multiplying the highest exponent prime factors to calculate the LCM of 9020 and 9026.

LCM(9020,9026) = 22 × 51 × 111 × 411 × 45131
LCM(9020,9026) = 40707260