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What is the Least Common Multiple of 7088 and 7101?

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 7088 and 7101 is 50331888.

LCM(7088,7101) = 50331888

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Least Common Multiple of 7088 and 7101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7088 and 7101, than apply into the LCM equation.

GCF(7088,7101) = 1
LCM(7088,7101) = ( 7088 × 7101) / 1
LCM(7088,7101) = 50331888 / 1
LCM(7088,7101) = 50331888

Least Common Multiple (LCM) of 7088 and 7101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7088 and 7101. First we will calculate the prime factors of 7088 and 7101.

Prime Factorization of 7088

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

7088 = 24 × 4431

Prime Factorization of 7101

Prime factors of 7101 are 3, 263. Prime factorization of 7101 in exponential form is:

7101 = 33 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 7088 and 7101.

LCM(7088,7101) = 24 × 4431 × 33 × 2631
LCM(7088,7101) = 50331888