What is the Least Common Multiple of 96010 and 96027?
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 96010 and 96027 is 9219552270.
LCM(96010,96027) = 9219552270
Least Common Multiple of 96010 and 96027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96010 and 96027, than apply into the LCM equation.
GCF(96010,96027) = 1
LCM(96010,96027) = ( 96010 × 96027) / 1
LCM(96010,96027) = 9219552270 / 1
LCM(96010,96027) = 9219552270
Least Common Multiple (LCM) of 96010 and 96027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96010 and 96027. First we will calculate the prime factors of 96010 and 96027.
Prime Factorization of 96010
Prime factors of 96010 are 2, 5, 9601. Prime factorization of 96010 in exponential form is:
96010 = 21 × 51 × 96011
Prime Factorization of 96027
Prime factors of 96027 are 3, 32009. Prime factorization of 96027 in exponential form is:
96027 = 31 × 320091
Now multiplying the highest exponent prime factors to calculate the LCM of 96010 and 96027.
LCM(96010,96027) = 21 × 51 × 96011 × 31 × 320091
LCM(96010,96027) = 9219552270
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