What is the Least Common Multiple of 5116 and 5124?
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 5116 and 5124 is 6553596.
LCM(5116,5124) = 6553596
Least Common Multiple of 5116 and 5124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5116 and 5124, than apply into the LCM equation.
GCF(5116,5124) = 4
LCM(5116,5124) = ( 5116 × 5124) / 4
LCM(5116,5124) = 26214384 / 4
LCM(5116,5124) = 6553596
Least Common Multiple (LCM) of 5116 and 5124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5116 and 5124. First we will calculate the prime factors of 5116 and 5124.
Prime Factorization of 5116
Prime factors of 5116 are 2, 1279. Prime factorization of 5116 in exponential form is:
5116 = 22 × 12791
Prime Factorization of 5124
Prime factors of 5124 are 2, 3, 7, 61. Prime factorization of 5124 in exponential form is:
5124 = 22 × 31 × 71 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 5116 and 5124.
LCM(5116,5124) = 22 × 12791 × 31 × 71 × 611
LCM(5116,5124) = 6553596
Related Least Common Multiples of 5116
- LCM of 5116 and 5120
- LCM of 5116 and 5121
- LCM of 5116 and 5122
- LCM of 5116 and 5123
- LCM of 5116 and 5124
- LCM of 5116 and 5125
- LCM of 5116 and 5126
- LCM of 5116 and 5127
- LCM of 5116 and 5128
- LCM of 5116 and 5129
- LCM of 5116 and 5130
- LCM of 5116 and 5131
- LCM of 5116 and 5132
- LCM of 5116 and 5133
- LCM of 5116 and 5134
- LCM of 5116 and 5135
- LCM of 5116 and 5136
Related Least Common Multiples of 5124
- LCM of 5124 and 5128
- LCM of 5124 and 5129
- LCM of 5124 and 5130
- LCM of 5124 and 5131
- LCM of 5124 and 5132
- LCM of 5124 and 5133
- LCM of 5124 and 5134
- LCM of 5124 and 5135
- LCM of 5124 and 5136
- LCM of 5124 and 5137
- LCM of 5124 and 5138
- LCM of 5124 and 5139
- LCM of 5124 and 5140
- LCM of 5124 and 5141
- LCM of 5124 and 5142
- LCM of 5124 and 5143
- LCM of 5124 and 5144