What is the Least Common Multiple of 111 and 131?
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 131 is 14541.
LCM(111,131) = 14541
Least Common Multiple of 111 and 131 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 131, than apply into the LCM equation.
GCF(111,131) = 1
LCM(111,131) = ( 111 × 131) / 1
LCM(111,131) = 14541 / 1
LCM(111,131) = 14541
Least Common Multiple (LCM) of 111 and 131 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 111 and 131. First we will calculate the prime factors of 111 and 131.
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 131
Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:
131 = 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 111 and 131.
LCM(111,131) = 31 × 371 × 1311
LCM(111,131) = 14541
Related Least Common Multiples of 111
- LCM of 111 and 115
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- LCM of 111 and 117
- LCM of 111 and 118
- LCM of 111 and 119
- LCM of 111 and 120
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- LCM of 111 and 125
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- LCM of 111 and 129
- LCM of 111 and 130
- LCM of 111 and 131
Related Least Common Multiples of 131
- LCM of 131 and 135
- LCM of 131 and 136
- LCM of 131 and 137
- LCM of 131 and 138
- LCM of 131 and 139
- LCM of 131 and 140
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- LCM of 131 and 150
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