What is the Least Common Multiple of 88775 and 88781?
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 88775 and 88781 is 7881533275.
LCM(88775,88781) = 7881533275
Least Common Multiple of 88775 and 88781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88775 and 88781, than apply into the LCM equation.
GCF(88775,88781) = 1
LCM(88775,88781) = ( 88775 × 88781) / 1
LCM(88775,88781) = 7881533275 / 1
LCM(88775,88781) = 7881533275
Least Common Multiple (LCM) of 88775 and 88781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88775 and 88781. First we will calculate the prime factors of 88775 and 88781.
Prime Factorization of 88775
Prime factors of 88775 are 5, 53, 67. Prime factorization of 88775 in exponential form is:
88775 = 52 × 531 × 671
Prime Factorization of 88781
Prime factors of 88781 are 7, 11, 1153. Prime factorization of 88781 in exponential form is:
88781 = 71 × 111 × 11531
Now multiplying the highest exponent prime factors to calculate the LCM of 88775 and 88781.
LCM(88775,88781) = 52 × 531 × 671 × 71 × 111 × 11531
LCM(88775,88781) = 7881533275
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