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What is the Least Common Multiple of 7052 and 7063?

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 7052 and 7063 is 49808276.

LCM(7052,7063) = 49808276

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Least Common Multiple of 7052 and 7063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7052 and 7063, than apply into the LCM equation.

GCF(7052,7063) = 1
LCM(7052,7063) = ( 7052 × 7063) / 1
LCM(7052,7063) = 49808276 / 1
LCM(7052,7063) = 49808276

Least Common Multiple (LCM) of 7052 and 7063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7052 and 7063. First we will calculate the prime factors of 7052 and 7063.

Prime Factorization of 7052

Prime factors of 7052 are 2, 41, 43. Prime factorization of 7052 in exponential form is:

7052 = 22 × 411 × 431

Prime Factorization of 7063

Prime factors of 7063 are 7, 1009. Prime factorization of 7063 in exponential form is:

7063 = 71 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 7052 and 7063.

LCM(7052,7063) = 22 × 411 × 431 × 71 × 10091
LCM(7052,7063) = 49808276