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What is the Least Common Multiple of 2983 and 3002?

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 2983 and 3002 is 471314.

LCM(2983,3002) = 471314

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Least Common Multiple of 2983 and 3002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2983 and 3002, than apply into the LCM equation.

GCF(2983,3002) = 19
LCM(2983,3002) = ( 2983 × 3002) / 19
LCM(2983,3002) = 8954966 / 19
LCM(2983,3002) = 471314

Least Common Multiple (LCM) of 2983 and 3002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2983 and 3002. First we will calculate the prime factors of 2983 and 3002.

Prime Factorization of 2983

Prime factors of 2983 are 19, 157. Prime factorization of 2983 in exponential form is:

2983 = 191 × 1571

Prime Factorization of 3002

Prime factors of 3002 are 2, 19, 79. Prime factorization of 3002 in exponential form is:

3002 = 21 × 191 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 2983 and 3002.

LCM(2983,3002) = 191 × 1571 × 21 × 791
LCM(2983,3002) = 471314