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What is the Least Common Multiple of 47030 and 47037?

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 47030 and 47037 is 2212150110.

LCM(47030,47037) = 2212150110

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Least Common Multiple of 47030 and 47037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47030 and 47037, than apply into the LCM equation.

GCF(47030,47037) = 1
LCM(47030,47037) = ( 47030 × 47037) / 1
LCM(47030,47037) = 2212150110 / 1
LCM(47030,47037) = 2212150110

Least Common Multiple (LCM) of 47030 and 47037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47030 and 47037. First we will calculate the prime factors of 47030 and 47037.

Prime Factorization of 47030

Prime factors of 47030 are 2, 5, 4703. Prime factorization of 47030 in exponential form is:

47030 = 21 × 51 × 47031

Prime Factorization of 47037

Prime factors of 47037 are 3, 15679. Prime factorization of 47037 in exponential form is:

47037 = 31 × 156791

Now multiplying the highest exponent prime factors to calculate the LCM of 47030 and 47037.

LCM(47030,47037) = 21 × 51 × 47031 × 31 × 156791
LCM(47030,47037) = 2212150110