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What is the Least Common Multiple of 9046 and 9050?

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 9046 and 9050 is 40933150.

LCM(9046,9050) = 40933150

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Least Common Multiple of 9046 and 9050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9046 and 9050, than apply into the LCM equation.

GCF(9046,9050) = 2
LCM(9046,9050) = ( 9046 × 9050) / 2
LCM(9046,9050) = 81866300 / 2
LCM(9046,9050) = 40933150

Least Common Multiple (LCM) of 9046 and 9050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9046 and 9050. First we will calculate the prime factors of 9046 and 9050.

Prime Factorization of 9046

Prime factors of 9046 are 2, 4523. Prime factorization of 9046 in exponential form is:

9046 = 21 × 45231

Prime Factorization of 9050

Prime factors of 9050 are 2, 5, 181. Prime factorization of 9050 in exponential form is:

9050 = 21 × 52 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 9046 and 9050.

LCM(9046,9050) = 21 × 45231 × 52 × 1811
LCM(9046,9050) = 40933150