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What is the Least Common Multiple of 3052 and 3063?

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 3052 and 3063 is 9348276.

LCM(3052,3063) = 9348276

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Least Common Multiple of 3052 and 3063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3052 and 3063, than apply into the LCM equation.

GCF(3052,3063) = 1
LCM(3052,3063) = ( 3052 × 3063) / 1
LCM(3052,3063) = 9348276 / 1
LCM(3052,3063) = 9348276

Least Common Multiple (LCM) of 3052 and 3063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3052 and 3063. First we will calculate the prime factors of 3052 and 3063.

Prime Factorization of 3052

Prime factors of 3052 are 2, 7, 109. Prime factorization of 3052 in exponential form is:

3052 = 22 × 71 × 1091

Prime Factorization of 3063

Prime factors of 3063 are 3, 1021. Prime factorization of 3063 in exponential form is:

3063 = 31 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 3052 and 3063.

LCM(3052,3063) = 22 × 71 × 1091 × 31 × 10211
LCM(3052,3063) = 9348276