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What is the Least Common Multiple of 7555 and 7574?

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 7555 and 7574 is 57221570.

LCM(7555,7574) = 57221570

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Least Common Multiple of 7555 and 7574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7555 and 7574, than apply into the LCM equation.

GCF(7555,7574) = 1
LCM(7555,7574) = ( 7555 × 7574) / 1
LCM(7555,7574) = 57221570 / 1
LCM(7555,7574) = 57221570

Least Common Multiple (LCM) of 7555 and 7574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7555 and 7574. First we will calculate the prime factors of 7555 and 7574.

Prime Factorization of 7555

Prime factors of 7555 are 5, 1511. Prime factorization of 7555 in exponential form is:

7555 = 51 × 15111

Prime Factorization of 7574

Prime factors of 7574 are 2, 7, 541. Prime factorization of 7574 in exponential form is:

7574 = 21 × 71 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 7555 and 7574.

LCM(7555,7574) = 51 × 15111 × 21 × 71 × 5411
LCM(7555,7574) = 57221570