What is the Least Common Multiple of 111 and 126?
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 126 is 4662.
LCM(111,126) = 4662
Least Common Multiple of 111 and 126 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 126, than apply into the LCM equation.
GCF(111,126) = 3
LCM(111,126) = ( 111 × 126) / 3
LCM(111,126) = 13986 / 3
LCM(111,126) = 4662
Least Common Multiple (LCM) of 111 and 126 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 111 and 126. First we will calculate the prime factors of 111 and 126.
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 126
Prime factors of 126 are 2, 3, 7. Prime factorization of 126 in exponential form is:
126 = 21 × 32 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 111 and 126.
LCM(111,126) = 32 × 371 × 21 × 71
LCM(111,126) = 4662
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 126
- LCM of 126 and 130
- LCM of 126 and 131
- LCM of 126 and 132
- LCM of 126 and 133
- LCM of 126 and 134
- LCM of 126 and 135
- LCM of 126 and 136
- LCM of 126 and 137
- LCM of 126 and 138
- LCM of 126 and 139
- LCM of 126 and 140
- LCM of 126 and 141
- LCM of 126 and 142
- LCM of 126 and 143
- LCM of 126 and 144
- LCM of 126 and 145
- LCM of 126 and 146