What is the Least Common Multiple of 111 and 117?
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 117 is 4329.
LCM(111,117) = 4329
Least Common Multiple of 111 and 117 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 117, than apply into the LCM equation.
GCF(111,117) = 3
LCM(111,117) = ( 111 × 117) / 3
LCM(111,117) = 12987 / 3
LCM(111,117) = 4329
Least Common Multiple (LCM) of 111 and 117 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 111 and 117. First we will calculate the prime factors of 111 and 117.
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 117
Prime factors of 117 are 3, 13. Prime factorization of 117 in exponential form is:
117 = 32 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 111 and 117.
LCM(111,117) = 32 × 371 × 131
LCM(111,117) = 4329
Related Least Common Multiples of 111
- LCM of 111 and 115
- LCM of 111 and 116
- LCM of 111 and 117
- LCM of 111 and 118
- LCM of 111 and 119
- LCM of 111 and 120
- LCM of 111 and 121
- LCM of 111 and 122
- LCM of 111 and 123
- LCM of 111 and 124
- LCM of 111 and 125
- LCM of 111 and 126
- LCM of 111 and 127
- LCM of 111 and 128
- LCM of 111 and 129
- LCM of 111 and 130
- LCM of 111 and 131
Related Least Common Multiples of 117
- LCM of 117 and 121
- LCM of 117 and 122
- LCM of 117 and 123
- LCM of 117 and 124
- LCM of 117 and 125
- LCM of 117 and 126
- LCM of 117 and 127
- LCM of 117 and 128
- LCM of 117 and 129
- LCM of 117 and 130
- LCM of 117 and 131
- LCM of 117 and 132
- LCM of 117 and 133
- LCM of 117 and 134
- LCM of 117 and 135
- LCM of 117 and 136
- LCM of 117 and 137