What is the Least Common Multiple of 88551 and 88561?
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 88551 and 88561 is 7842165111.
LCM(88551,88561) = 7842165111
Least Common Multiple of 88551 and 88561 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88551 and 88561, than apply into the LCM equation.
GCF(88551,88561) = 1
LCM(88551,88561) = ( 88551 × 88561) / 1
LCM(88551,88561) = 7842165111 / 1
LCM(88551,88561) = 7842165111
Least Common Multiple (LCM) of 88551 and 88561 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88551 and 88561. First we will calculate the prime factors of 88551 and 88561.
Prime Factorization of 88551
Prime factors of 88551 are 3, 9839. Prime factorization of 88551 in exponential form is:
88551 = 32 × 98391
Prime Factorization of 88561
Prime factors of 88561 are 11, 83, 97. Prime factorization of 88561 in exponential form is:
88561 = 111 × 831 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 88551 and 88561.
LCM(88551,88561) = 32 × 98391 × 111 × 831 × 971
LCM(88551,88561) = 7842165111
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