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What is the Least Common Multiple of 2930 and 2950?

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 2930 and 2950 is 864350.

LCM(2930,2950) = 864350

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Least Common Multiple of 2930 and 2950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2930 and 2950, than apply into the LCM equation.

GCF(2930,2950) = 10
LCM(2930,2950) = ( 2930 × 2950) / 10
LCM(2930,2950) = 8643500 / 10
LCM(2930,2950) = 864350

Least Common Multiple (LCM) of 2930 and 2950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2930 and 2950. First we will calculate the prime factors of 2930 and 2950.

Prime Factorization of 2930

Prime factors of 2930 are 2, 5, 293. Prime factorization of 2930 in exponential form is:

2930 = 21 × 51 × 2931

Prime Factorization of 2950

Prime factors of 2950 are 2, 5, 59. Prime factorization of 2950 in exponential form is:

2950 = 21 × 52 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 2930 and 2950.

LCM(2930,2950) = 21 × 52 × 2931 × 591
LCM(2930,2950) = 864350