What is the Least Common Multiple of 88366 and 88371?
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 88366 and 88371 is 7808991786.
LCM(88366,88371) = 7808991786
Least Common Multiple of 88366 and 88371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88366 and 88371, than apply into the LCM equation.
GCF(88366,88371) = 1
LCM(88366,88371) = ( 88366 × 88371) / 1
LCM(88366,88371) = 7808991786 / 1
LCM(88366,88371) = 7808991786
Least Common Multiple (LCM) of 88366 and 88371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88366 and 88371. First we will calculate the prime factors of 88366 and 88371.
Prime Factorization of 88366
Prime factors of 88366 are 2, 17, 23, 113. Prime factorization of 88366 in exponential form is:
88366 = 21 × 171 × 231 × 1131
Prime Factorization of 88371
Prime factors of 88371 are 3, 1091. Prime factorization of 88371 in exponential form is:
88371 = 34 × 10911
Now multiplying the highest exponent prime factors to calculate the LCM of 88366 and 88371.
LCM(88366,88371) = 21 × 171 × 231 × 1131 × 34 × 10911
LCM(88366,88371) = 7808991786
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