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What is the Least Common Multiple of 7253 and 7260?

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 7253 and 7260 is 52656780.

LCM(7253,7260) = 52656780

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Least Common Multiple of 7253 and 7260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7253 and 7260, than apply into the LCM equation.

GCF(7253,7260) = 1
LCM(7253,7260) = ( 7253 × 7260) / 1
LCM(7253,7260) = 52656780 / 1
LCM(7253,7260) = 52656780

Least Common Multiple (LCM) of 7253 and 7260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7253 and 7260. First we will calculate the prime factors of 7253 and 7260.

Prime Factorization of 7253

Prime factors of 7253 are 7253. Prime factorization of 7253 in exponential form is:

7253 = 72531

Prime Factorization of 7260

Prime factors of 7260 are 2, 3, 5, 11. Prime factorization of 7260 in exponential form is:

7260 = 22 × 31 × 51 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 7253 and 7260.

LCM(7253,7260) = 72531 × 22 × 31 × 51 × 112
LCM(7253,7260) = 52656780