What is the Least Common Multiple of 7557 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 7557 and 7561 is 57138477.
LCM(7557,7561) = 57138477
Least Common Multiple of 7557 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 7557 and 7561, than apply into the LCM equation.
GCF(7557,7561) = 1
LCM(7557,7561) = ( 7557 × 7561) / 1
LCM(7557,7561) = 57138477 / 1
LCM(7557,7561) = 57138477
Least Common Multiple (LCM) of 7557 and 7561 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7557 and 7561. First we will calculate the prime factors of 7557 and 7561.
Prime Factorization of 7557
Prime factors of 7557 are 3, 11, 229. Prime factorization of 7557 in exponential form is:
7557 = 31 × 111 × 2291
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 7557 and 7561.
LCM(7557,7561) = 31 × 111 × 2291 × 75611
LCM(7557,7561) = 57138477
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