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What is the Least Common Multiple of 35030 and 35037?

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 35030 and 35037 is 1227346110.

LCM(35030,35037) = 1227346110

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Least Common Multiple of 35030 and 35037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35030 and 35037, than apply into the LCM equation.

GCF(35030,35037) = 1
LCM(35030,35037) = ( 35030 × 35037) / 1
LCM(35030,35037) = 1227346110 / 1
LCM(35030,35037) = 1227346110

Least Common Multiple (LCM) of 35030 and 35037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35030 and 35037. First we will calculate the prime factors of 35030 and 35037.

Prime Factorization of 35030

Prime factors of 35030 are 2, 5, 31, 113. Prime factorization of 35030 in exponential form is:

35030 = 21 × 51 × 311 × 1131

Prime Factorization of 35037

Prime factors of 35037 are 3, 17, 229. Prime factorization of 35037 in exponential form is:

35037 = 32 × 171 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 35030 and 35037.

LCM(35030,35037) = 21 × 51 × 311 × 1131 × 32 × 171 × 2291
LCM(35030,35037) = 1227346110