What is the Least Common Multiple of 88375 and 88379?
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 88375 and 88379 is 7810494125.
LCM(88375,88379) = 7810494125
Least Common Multiple of 88375 and 88379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88375 and 88379, than apply into the LCM equation.
GCF(88375,88379) = 1
LCM(88375,88379) = ( 88375 × 88379) / 1
LCM(88375,88379) = 7810494125 / 1
LCM(88375,88379) = 7810494125
Least Common Multiple (LCM) of 88375 and 88379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88375 and 88379. First we will calculate the prime factors of 88375 and 88379.
Prime Factorization of 88375
Prime factors of 88375 are 5, 7, 101. Prime factorization of 88375 in exponential form is:
88375 = 53 × 71 × 1011
Prime Factorization of 88379
Prime factors of 88379 are 88379. Prime factorization of 88379 in exponential form is:
88379 = 883791
Now multiplying the highest exponent prime factors to calculate the LCM of 88375 and 88379.
LCM(88375,88379) = 53 × 71 × 1011 × 883791
LCM(88375,88379) = 7810494125
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