LCM for 35 and 43
What's the Least Common Multiple (LCM) of 35 and 43?
Answer
(One thousand, five hundred five)
Finding LCM for 35 and 43 using GCF of these numbers
The first method to find LCM for numbers 35 and 43 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 35 and 43 is 1, so
LCM = (35 × 43) ÷ 1
LCM = 1505 ÷ 1
LCM = 1505
Finding LCM for 35 and 43 by Listing Multiples
The second method to find LCM for numbers 35 and 43 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770, 805, 840, 875, 910, 945, 980, 1015, 1050, 1085, 1120, 1155, 1190, 1225, 1260, 1295, 1330, 1365, 1400, 1435, 1470, 1505, 1540, 1575
Multiples of 43: 43, 86, 129, 172, 215, 258, 301, 344, 387, 430, 473, 516, 559, 602, 645, 688, 731, 774, 817, 860, 903, 946, 989, 1032, 1075, 1118, 1161, 1204, 1247, 1290, 1333, 1376, 1419, 1462, 1505, 1548, 1591
So the LCM for 35 and 43 is 1505
Finding LCM for 35 and 43 by Prime Factorization
Another method to find LCM for numbers 35 and 43 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 35: 5, 7 (exponent form: 51, 71)
All Prime Factors of 43: 43 (exponent form: 431)
51 × 71 × 431 = 1505
Related Calculations
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/35--43">What is the LCM of 35 and 43? - 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