What is the Least Common Multiple of 111 and 128?
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 111 and 128 is 14208.
LCM(111,128) = 14208
Least Common Multiple of 111 and 128 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 111 and 128, than apply into the LCM equation.
GCF(111,128) = 1
LCM(111,128) = ( 111 × 128) / 1
LCM(111,128) = 14208 / 1
LCM(111,128) = 14208
Least Common Multiple (LCM) of 111 and 128 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 111 and 128. First we will calculate the prime factors of 111 and 128.
Prime Factorization of 111
Prime factors of 111 are 3, 37. Prime factorization of 111 in exponential form is:
111 = 31 × 371
Prime Factorization of 128
Prime factors of 128 are 2. Prime factorization of 128 in exponential form is:
128 = 27
Now multiplying the highest exponent prime factors to calculate the LCM of 111 and 128.
LCM(111,128) = 31 × 371 × 27
LCM(111,128) = 14208
Related Least Common Multiples of 111
- LCM of 111 and 115
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- LCM of 111 and 128
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- LCM of 111 and 130
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Related Least Common Multiples of 128
- LCM of 128 and 132
- LCM of 128 and 133
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- LCM of 128 and 135
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