What is the Least Common Multiple of 99862 and 99873?
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 99862 and 99873 is 9973517526.
LCM(99862,99873) = 9973517526
Least Common Multiple of 99862 and 99873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99862 and 99873, than apply into the LCM equation.
GCF(99862,99873) = 1
LCM(99862,99873) = ( 99862 × 99873) / 1
LCM(99862,99873) = 9973517526 / 1
LCM(99862,99873) = 9973517526
Least Common Multiple (LCM) of 99862 and 99873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99862 and 99873. First we will calculate the prime factors of 99862 and 99873.
Prime Factorization of 99862
Prime factors of 99862 are 2, 7, 1019. Prime factorization of 99862 in exponential form is:
99862 = 21 × 72 × 10191
Prime Factorization of 99873
Prime factors of 99873 are 3, 137. Prime factorization of 99873 in exponential form is:
99873 = 36 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 99862 and 99873.
LCM(99862,99873) = 21 × 72 × 10191 × 36 × 1371
LCM(99862,99873) = 9973517526
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