What is the Least Common Multiple of 111 and 120?
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 120 is 4440.
LCM(111,120) = 4440
Least Common Multiple of 111 and 120 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 120, than apply into the LCM equation.
GCF(111,120) = 3
LCM(111,120) = ( 111 × 120) / 3
LCM(111,120) = 13320 / 3
LCM(111,120) = 4440
Least Common Multiple (LCM) of 111 and 120 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 111 and 120. First we will calculate the prime factors of 111 and 120.
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 120
Prime factors of 120 are 2, 3, 5. Prime factorization of 120 in exponential form is:
120 = 23 × 31 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 111 and 120.
LCM(111,120) = 31 × 371 × 23 × 51
LCM(111,120) = 4440
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Related Least Common Multiples of 120
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