What is the Least Common Multiple of 99206 and 99215?
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 99206 and 99215 is 9842723290.
LCM(99206,99215) = 9842723290
Least Common Multiple of 99206 and 99215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99206 and 99215, than apply into the LCM equation.
GCF(99206,99215) = 1
LCM(99206,99215) = ( 99206 × 99215) / 1
LCM(99206,99215) = 9842723290 / 1
LCM(99206,99215) = 9842723290
Least Common Multiple (LCM) of 99206 and 99215 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99206 and 99215. First we will calculate the prime factors of 99206 and 99215.
Prime Factorization of 99206
Prime factors of 99206 are 2, 49603. Prime factorization of 99206 in exponential form is:
99206 = 21 × 496031
Prime Factorization of 99215
Prime factors of 99215 are 5, 19843. Prime factorization of 99215 in exponential form is:
99215 = 51 × 198431
Now multiplying the highest exponent prime factors to calculate the LCM of 99206 and 99215.
LCM(99206,99215) = 21 × 496031 × 51 × 198431
LCM(99206,99215) = 9842723290
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