What is the Least Common Multiple of 88087 and 88097?
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 88087 and 88097 is 7760200439.
LCM(88087,88097) = 7760200439
Least Common Multiple of 88087 and 88097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88087 and 88097, than apply into the LCM equation.
GCF(88087,88097) = 1
LCM(88087,88097) = ( 88087 × 88097) / 1
LCM(88087,88097) = 7760200439 / 1
LCM(88087,88097) = 7760200439
Least Common Multiple (LCM) of 88087 and 88097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88087 and 88097. First we will calculate the prime factors of 88087 and 88097.
Prime Factorization of 88087
Prime factors of 88087 are 59, 1493. Prime factorization of 88087 in exponential form is:
88087 = 591 × 14931
Prime Factorization of 88097
Prime factors of 88097 are 37, 2381. Prime factorization of 88097 in exponential form is:
88097 = 371 × 23811
Now multiplying the highest exponent prime factors to calculate the LCM of 88087 and 88097.
LCM(88087,88097) = 591 × 14931 × 371 × 23811
LCM(88087,88097) = 7760200439
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