What is the Least Common Multiple of 99121 and 99127?
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 99121 and 99127 is 9825567367.
LCM(99121,99127) = 9825567367
Least Common Multiple of 99121 and 99127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99121 and 99127, than apply into the LCM equation.
GCF(99121,99127) = 1
LCM(99121,99127) = ( 99121 × 99127) / 1
LCM(99121,99127) = 9825567367 / 1
LCM(99121,99127) = 9825567367
Least Common Multiple (LCM) of 99121 and 99127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99121 and 99127. First we will calculate the prime factors of 99121 and 99127.
Prime Factorization of 99121
Prime factors of 99121 are 11, 9011. Prime factorization of 99121 in exponential form is:
99121 = 111 × 90111
Prime Factorization of 99127
Prime factors of 99127 are 7, 17. Prime factorization of 99127 in exponential form is:
99127 = 73 × 172
Now multiplying the highest exponent prime factors to calculate the LCM of 99121 and 99127.
LCM(99121,99127) = 111 × 90111 × 73 × 172
LCM(99121,99127) = 9825567367
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