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What is the Least Common Multiple of 7026 and 7040?

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 7026 and 7040 is 24731520.

LCM(7026,7040) = 24731520

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Least Common Multiple of 7026 and 7040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7026 and 7040, than apply into the LCM equation.

GCF(7026,7040) = 2
LCM(7026,7040) = ( 7026 × 7040) / 2
LCM(7026,7040) = 49463040 / 2
LCM(7026,7040) = 24731520

Least Common Multiple (LCM) of 7026 and 7040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7026 and 7040. First we will calculate the prime factors of 7026 and 7040.

Prime Factorization of 7026

Prime factors of 7026 are 2, 3, 1171. Prime factorization of 7026 in exponential form is:

7026 = 21 × 31 × 11711

Prime Factorization of 7040

Prime factors of 7040 are 2, 5, 11. Prime factorization of 7040 in exponential form is:

7040 = 27 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 7026 and 7040.

LCM(7026,7040) = 27 × 31 × 11711 × 51 × 111
LCM(7026,7040) = 24731520