What is the Least Common Multiple of 10092 and 10100?
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 10092 and 10100 is 25482300.
LCM(10092,10100) = 25482300
Least Common Multiple of 10092 and 10100 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10092 and 10100, than apply into the LCM equation.
GCF(10092,10100) = 4
LCM(10092,10100) = ( 10092 × 10100) / 4
LCM(10092,10100) = 101929200 / 4
LCM(10092,10100) = 25482300
Least Common Multiple (LCM) of 10092 and 10100 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10092 and 10100. First we will calculate the prime factors of 10092 and 10100.
Prime Factorization of 10092
Prime factors of 10092 are 2, 3, 29. Prime factorization of 10092 in exponential form is:
10092 = 22 × 31 × 292
Prime Factorization of 10100
Prime factors of 10100 are 2, 5, 101. Prime factorization of 10100 in exponential form is:
10100 = 22 × 52 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 10092 and 10100.
LCM(10092,10100) = 22 × 31 × 292 × 52 × 1011
LCM(10092,10100) = 25482300
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