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What is the Least Common Multiple of 2252 and 2270?

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 2252 and 2270 is 2556020.

LCM(2252,2270) = 2556020

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Least Common Multiple of 2252 and 2270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2252 and 2270, than apply into the LCM equation.

GCF(2252,2270) = 2
LCM(2252,2270) = ( 2252 × 2270) / 2
LCM(2252,2270) = 5112040 / 2
LCM(2252,2270) = 2556020

Least Common Multiple (LCM) of 2252 and 2270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2252 and 2270. First we will calculate the prime factors of 2252 and 2270.

Prime Factorization of 2252

Prime factors of 2252 are 2, 563. Prime factorization of 2252 in exponential form is:

2252 = 22 × 5631

Prime Factorization of 2270

Prime factors of 2270 are 2, 5, 227. Prime factorization of 2270 in exponential form is:

2270 = 21 × 51 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2252 and 2270.

LCM(2252,2270) = 22 × 5631 × 51 × 2271
LCM(2252,2270) = 2556020