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What is the Least Common Multiple of 7081 and 7088?

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 7081 and 7088 is 50190128.

LCM(7081,7088) = 50190128

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Least Common Multiple of 7081 and 7088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7081 and 7088, than apply into the LCM equation.

GCF(7081,7088) = 1
LCM(7081,7088) = ( 7081 × 7088) / 1
LCM(7081,7088) = 50190128 / 1
LCM(7081,7088) = 50190128

Least Common Multiple (LCM) of 7081 and 7088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7081 and 7088. First we will calculate the prime factors of 7081 and 7088.

Prime Factorization of 7081

Prime factors of 7081 are 73, 97. Prime factorization of 7081 in exponential form is:

7081 = 731 × 971

Prime Factorization of 7088

Prime factors of 7088 are 2, 443. Prime factorization of 7088 in exponential form is:

7088 = 24 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 7081 and 7088.

LCM(7081,7088) = 731 × 971 × 24 × 4431
LCM(7081,7088) = 50190128