What is the Least Common Multiple of 99069 and 99079?
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 99069 and 99079 is 9815657451.
LCM(99069,99079) = 9815657451
Least Common Multiple of 99069 and 99079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99069 and 99079, than apply into the LCM equation.
GCF(99069,99079) = 1
LCM(99069,99079) = ( 99069 × 99079) / 1
LCM(99069,99079) = 9815657451 / 1
LCM(99069,99079) = 9815657451
Least Common Multiple (LCM) of 99069 and 99079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99069 and 99079. First we will calculate the prime factors of 99069 and 99079.
Prime Factorization of 99069
Prime factors of 99069 are 3, 33023. Prime factorization of 99069 in exponential form is:
99069 = 31 × 330231
Prime Factorization of 99079
Prime factors of 99079 are 99079. Prime factorization of 99079 in exponential form is:
99079 = 990791
Now multiplying the highest exponent prime factors to calculate the LCM of 99069 and 99079.
LCM(99069,99079) = 31 × 330231 × 990791
LCM(99069,99079) = 9815657451
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