LCM for 45 and 52
What's the Least Common Multiple (LCM) of 45 and 52?
Answer
(Two thousand, three hundred forty)
Finding LCM for 45 and 52 using GCF of these numbers
The first method to find LCM for numbers 45 and 52 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 45 and 52 is 1, so
LCM = (45 × 52) ÷ 1
LCM = 2340 ÷ 1
LCM = 2340
Finding LCM for 45 and 52 by Listing Multiples
The second method to find LCM for numbers 45 and 52 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945, 990, 1035, 1080, 1125, 1170, 1215, 1260, 1305, 1350, 1395, 1440, 1485, 1530, 1575, 1620, 1665, 1710, 1755, 1800, 1845, 1890, 1935, 1980, 2025, 2070, 2115, 2160, 2205, 2250, 2295, 2340, 2385, 2430
Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092, 1144, 1196, 1248, 1300, 1352, 1404, 1456, 1508, 1560, 1612, 1664, 1716, 1768, 1820, 1872, 1924, 1976, 2028, 2080, 2132, 2184, 2236, 2288, 2340, 2392, 2444
So the LCM for 45 and 52 is 2340
Finding LCM for 45 and 52 by Prime Factorization
Another method to find LCM for numbers 45 and 52 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)
All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)
32 × 51 × 22 × 131 = 2340
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/45--52">What is the LCM of 45 and 52? - 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