What is the Least Common Multiple of 88691 and 88711?
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 88691 and 88711 is 7867867301.
LCM(88691,88711) = 7867867301
Least Common Multiple of 88691 and 88711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88691 and 88711, than apply into the LCM equation.
GCF(88691,88711) = 1
LCM(88691,88711) = ( 88691 × 88711) / 1
LCM(88691,88711) = 7867867301 / 1
LCM(88691,88711) = 7867867301
Least Common Multiple (LCM) of 88691 and 88711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88691 and 88711. First we will calculate the prime factors of 88691 and 88711.
Prime Factorization of 88691
Prime factors of 88691 are 31, 2861. Prime factorization of 88691 in exponential form is:
88691 = 311 × 28611
Prime Factorization of 88711
Prime factors of 88711 are 7, 19, 23, 29. Prime factorization of 88711 in exponential form is:
88711 = 71 × 191 × 231 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 88691 and 88711.
LCM(88691,88711) = 311 × 28611 × 71 × 191 × 231 × 291
LCM(88691,88711) = 7867867301
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