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What is the Least Common Multiple of 7550 and 7561?

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 7550 and 7561 is 57085550.

LCM(7550,7561) = 57085550

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Least Common Multiple of 7550 and 7561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7550 and 7561, than apply into the LCM equation.

GCF(7550,7561) = 1
LCM(7550,7561) = ( 7550 × 7561) / 1
LCM(7550,7561) = 57085550 / 1
LCM(7550,7561) = 57085550

Least Common Multiple (LCM) of 7550 and 7561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7550 and 7561. First we will calculate the prime factors of 7550 and 7561.

Prime Factorization of 7550

Prime factors of 7550 are 2, 5, 151. Prime factorization of 7550 in exponential form is:

7550 = 21 × 52 × 1511

Prime Factorization of 7561

Prime factors of 7561 are 7561. Prime factorization of 7561 in exponential form is:

7561 = 75611

Now multiplying the highest exponent prime factors to calculate the LCM of 7550 and 7561.

LCM(7550,7561) = 21 × 52 × 1511 × 75611
LCM(7550,7561) = 57085550