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What is the Least Common Multiple of 9037 and 9046?

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 9037 and 9046 is 81748702.

LCM(9037,9046) = 81748702

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Least Common Multiple of 9037 and 9046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9037 and 9046, than apply into the LCM equation.

GCF(9037,9046) = 1
LCM(9037,9046) = ( 9037 × 9046) / 1
LCM(9037,9046) = 81748702 / 1
LCM(9037,9046) = 81748702

Least Common Multiple (LCM) of 9037 and 9046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9037 and 9046. First we will calculate the prime factors of 9037 and 9046.

Prime Factorization of 9037

Prime factors of 9037 are 7, 1291. Prime factorization of 9037 in exponential form is:

9037 = 71 × 12911

Prime Factorization of 9046

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

9046 = 21 × 45231

Now multiplying the highest exponent prime factors to calculate the LCM of 9037 and 9046.

LCM(9037,9046) = 71 × 12911 × 21 × 45231
LCM(9037,9046) = 81748702