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What is the Least Common Multiple of 3034 and 3050?

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 3034 and 3050 is 4626850.

LCM(3034,3050) = 4626850

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Least Common Multiple of 3034 and 3050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3034 and 3050, than apply into the LCM equation.

GCF(3034,3050) = 2
LCM(3034,3050) = ( 3034 × 3050) / 2
LCM(3034,3050) = 9253700 / 2
LCM(3034,3050) = 4626850

Least Common Multiple (LCM) of 3034 and 3050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3034 and 3050. First we will calculate the prime factors of 3034 and 3050.

Prime Factorization of 3034

Prime factors of 3034 are 2, 37, 41. Prime factorization of 3034 in exponential form is:

3034 = 21 × 371 × 411

Prime Factorization of 3050

Prime factors of 3050 are 2, 5, 61. Prime factorization of 3050 in exponential form is:

3050 = 21 × 52 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 3034 and 3050.

LCM(3034,3050) = 21 × 371 × 411 × 52 × 611
LCM(3034,3050) = 4626850