What is the Least Common Multiple of 99 and 112?
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 99 and 112 is 11088.
LCM(99,112) = 11088
Least Common Multiple of 99 and 112 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99 and 112, than apply into the LCM equation.
GCF(99,112) = 1
LCM(99,112) = ( 99 × 112) / 1
LCM(99,112) = 11088 / 1
LCM(99,112) = 11088
Least Common Multiple (LCM) of 99 and 112 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99 and 112. First we will calculate the prime factors of 99 and 112.
Prime Factorization of 99
Prime factors of 99 are 3, 11. Prime factorization of 99 in exponential form is:
99 = 32 × 111
Prime Factorization of 112
Prime factors of 112 are 2, 7. Prime factorization of 112 in exponential form is:
112 = 24 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 99 and 112.
LCM(99,112) = 32 × 111 × 24 × 71
LCM(99,112) = 11088
Related Least Common Multiples of 99
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- LCM of 99 and 113
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Related Least Common Multiples of 112
- LCM of 112 and 116
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