What is the Least Common Multiple of 90987 and 91000?
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 90987 and 91000 is 636909000.
LCM(90987,91000) = 636909000
Least Common Multiple of 90987 and 91000 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90987 and 91000, than apply into the LCM equation.
GCF(90987,91000) = 13
LCM(90987,91000) = ( 90987 × 91000) / 13
LCM(90987,91000) = 8279817000 / 13
LCM(90987,91000) = 636909000
Least Common Multiple (LCM) of 90987 and 91000 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90987 and 91000. First we will calculate the prime factors of 90987 and 91000.
Prime Factorization of 90987
Prime factors of 90987 are 3, 13, 2333. Prime factorization of 90987 in exponential form is:
90987 = 31 × 131 × 23331
Prime Factorization of 91000
Prime factors of 91000 are 2, 5, 7, 13. Prime factorization of 91000 in exponential form is:
91000 = 23 × 53 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 90987 and 91000.
LCM(90987,91000) = 31 × 131 × 23331 × 23 × 53 × 71
LCM(90987,91000) = 636909000
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