LCM for 45 and 49
What's the Least Common Multiple (LCM) of 45 and 49?
Answer
(Two thousand, two hundred five)
Finding LCM for 45 and 49 using GCF of these numbers
The first method to find LCM for numbers 45 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 45 and 49 is 1, so
LCM = (45 × 49) ÷ 1
LCM = 2205 ÷ 1
LCM = 2205
Finding LCM for 45 and 49 by Listing Multiples
The second method to find LCM for numbers 45 and 49 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
Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303
So the LCM for 45 and 49 is 2205
Finding LCM for 45 and 49 by Prime Factorization
Another method to find LCM for numbers 45 and 49 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 49: 7, 7 (exponent form: 72)
32 × 51 × 72 = 2205
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--49">What is the LCM of 45 and 49? - 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