LCM for 31 and 88
What's the Least Common Multiple (LCM) of 31 and 88?
(Two thousand, seven hundred twenty-eight)
Finding LCM for 31 and 88 using GCF's of these numbers
The first method to find LCM for numbers 31 and 88 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 31 and 88 is 1, so
LCM = (31 × 88) ÷ 1
LCM = 2728 ÷ 1
LCM = 2728
Finding LCM for 31 and 88 by Listing Multiples
The second method to find LCM for numbers 31 and 88 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 31: 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620, 651, 682, 713, 744, 775, 806, 837, 868, 899, 930, 961, 992, 1023, 1054, 1085, 1116, 1147, 1178, 1209, 1240, 1271, 1302, 1333, 1364, 1395, 1426, 1457, 1488, 1519, 1550, 1581, 1612, 1643, 1674, 1705, 1736, 1767, 1798, 1829, 1860, 1891, 1922, 1953, 1984, 2015, 2046, 2077, 2108, 2139, 2170, 2201, 2232, 2263, 2294, 2325, 2356, 2387, 2418, 2449, 2480, 2511, 2542, 2573, 2604, 2635, 2666, 2697, 2728, 2759, 2790
Multiples of 88: 88, 176, 264, 352, 440, 528, 616, 704, 792, 880, 968, 1056, 1144, 1232, 1320, 1408, 1496, 1584, 1672, 1760, 1848, 1936, 2024, 2112, 2200, 2288, 2376, 2464, 2552, 2640, 2728, 2816, 2904
So the LCM for 31 and 88 is 2728
Finding LCM for 31 and 88 by Prime Factorization
Another method to find LCM for numbers 31 and 88 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 31: 31 (exponent form: 311)
All Prime Factors of 88: 2, 2, 2, 11 (exponent form: 23, 111)
311 × 23 × 111 = 2728
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/31--88">What is the LCM of 31 and 88? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers