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What is the Least Common Multiple of 2030 and 2047?

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 2030 and 2047 is 4155410.

LCM(2030,2047) = 4155410

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Least Common Multiple of 2030 and 2047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2030 and 2047, than apply into the LCM equation.

GCF(2030,2047) = 1
LCM(2030,2047) = ( 2030 × 2047) / 1
LCM(2030,2047) = 4155410 / 1
LCM(2030,2047) = 4155410

Least Common Multiple (LCM) of 2030 and 2047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2030 and 2047. First we will calculate the prime factors of 2030 and 2047.

Prime Factorization of 2030

Prime factors of 2030 are 2, 5, 7, 29. Prime factorization of 2030 in exponential form is:

2030 = 21 × 51 × 71 × 291

Prime Factorization of 2047

Prime factors of 2047 are 23, 89. Prime factorization of 2047 in exponential form is:

2047 = 231 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 2030 and 2047.

LCM(2030,2047) = 21 × 51 × 71 × 291 × 231 × 891
LCM(2030,2047) = 4155410