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What is the Least Common Multiple of 31025 and 31045?

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 31025 and 31045 is 192634225.

LCM(31025,31045) = 192634225

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Least Common Multiple of 31025 and 31045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31025 and 31045, than apply into the LCM equation.

GCF(31025,31045) = 5
LCM(31025,31045) = ( 31025 × 31045) / 5
LCM(31025,31045) = 963171125 / 5
LCM(31025,31045) = 192634225

Least Common Multiple (LCM) of 31025 and 31045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31025 and 31045. First we will calculate the prime factors of 31025 and 31045.

Prime Factorization of 31025

Prime factors of 31025 are 5, 17, 73. Prime factorization of 31025 in exponential form is:

31025 = 52 × 171 × 731

Prime Factorization of 31045

Prime factors of 31045 are 5, 7, 887. Prime factorization of 31045 in exponential form is:

31045 = 51 × 71 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 31025 and 31045.

LCM(31025,31045) = 52 × 171 × 731 × 71 × 8871
LCM(31025,31045) = 192634225