What is the Least Common Multiple of 99053 and 99068?
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 99053 and 99068 is 9812982604.
LCM(99053,99068) = 9812982604
Least Common Multiple of 99053 and 99068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99053 and 99068, than apply into the LCM equation.
GCF(99053,99068) = 1
LCM(99053,99068) = ( 99053 × 99068) / 1
LCM(99053,99068) = 9812982604 / 1
LCM(99053,99068) = 9812982604
Least Common Multiple (LCM) of 99053 and 99068 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99053 and 99068. First we will calculate the prime factors of 99053 and 99068.
Prime Factorization of 99053
Prime factors of 99053 are 99053. Prime factorization of 99053 in exponential form is:
99053 = 990531
Prime Factorization of 99068
Prime factors of 99068 are 2, 24767. Prime factorization of 99068 in exponential form is:
99068 = 22 × 247671
Now multiplying the highest exponent prime factors to calculate the LCM of 99053 and 99068.
LCM(99053,99068) = 990531 × 22 × 247671
LCM(99053,99068) = 9812982604
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