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What is the Least Common Multiple of 7048 and 7062?

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 7048 and 7062 is 24886488.

LCM(7048,7062) = 24886488

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Least Common Multiple of 7048 and 7062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7048 and 7062, than apply into the LCM equation.

GCF(7048,7062) = 2
LCM(7048,7062) = ( 7048 × 7062) / 2
LCM(7048,7062) = 49772976 / 2
LCM(7048,7062) = 24886488

Least Common Multiple (LCM) of 7048 and 7062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7048 and 7062. First we will calculate the prime factors of 7048 and 7062.

Prime Factorization of 7048

Prime factors of 7048 are 2, 881. Prime factorization of 7048 in exponential form is:

7048 = 23 × 8811

Prime Factorization of 7062

Prime factors of 7062 are 2, 3, 11, 107. Prime factorization of 7062 in exponential form is:

7062 = 21 × 31 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7048 and 7062.

LCM(7048,7062) = 23 × 8811 × 31 × 111 × 1071
LCM(7048,7062) = 24886488