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What is the Least Common Multiple of 7054 and 7074?

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 7054 and 7074 is 24949998.

LCM(7054,7074) = 24949998

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Least Common Multiple of 7054 and 7074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7054 and 7074, than apply into the LCM equation.

GCF(7054,7074) = 2
LCM(7054,7074) = ( 7054 × 7074) / 2
LCM(7054,7074) = 49899996 / 2
LCM(7054,7074) = 24949998

Least Common Multiple (LCM) of 7054 and 7074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7054 and 7074. First we will calculate the prime factors of 7054 and 7074.

Prime Factorization of 7054

Prime factors of 7054 are 2, 3527. Prime factorization of 7054 in exponential form is:

7054 = 21 × 35271

Prime Factorization of 7074

Prime factors of 7074 are 2, 3, 131. Prime factorization of 7074 in exponential form is:

7074 = 21 × 33 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7054 and 7074.

LCM(7054,7074) = 21 × 35271 × 33 × 1311
LCM(7054,7074) = 24949998