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What is the Least Common Multiple of 7292 and 7301?

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 7292 and 7301 is 53238892.

LCM(7292,7301) = 53238892

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Least Common Multiple of 7292 and 7301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7292 and 7301, than apply into the LCM equation.

GCF(7292,7301) = 1
LCM(7292,7301) = ( 7292 × 7301) / 1
LCM(7292,7301) = 53238892 / 1
LCM(7292,7301) = 53238892

Least Common Multiple (LCM) of 7292 and 7301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7292 and 7301. First we will calculate the prime factors of 7292 and 7301.

Prime Factorization of 7292

Prime factors of 7292 are 2, 1823. Prime factorization of 7292 in exponential form is:

7292 = 22 × 18231

Prime Factorization of 7301

Prime factors of 7301 are 7, 149. Prime factorization of 7301 in exponential form is:

7301 = 72 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 7292 and 7301.

LCM(7292,7301) = 22 × 18231 × 72 × 1491
LCM(7292,7301) = 53238892