LCM for 40 and 195
What's the Least Common Multiple (LCM) of 40 and 195?
Answer
(One thousand, five hundred sixty)
Finding LCM for 40 and 195 using GCF of these numbers
The first method to find LCM for numbers 40 and 195 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 195 is 5, so
LCM = (40 × 195) ÷ 5
LCM = 7800 ÷ 5
LCM = 1560
Finding LCM for 40 and 195 by Listing Multiples
The second method to find LCM for numbers 40 and 195 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200, 1240, 1280, 1320, 1360, 1400, 1440, 1480, 1520, 1560, 1600, 1640
Multiples of 195: 195, 390, 585, 780, 975, 1170, 1365, 1560, 1755, 1950
So the LCM for 40 and 195 is 1560
Finding LCM for 40 and 195 by Prime Factorization
Another method to find LCM for numbers 40 and 195 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)
All Prime Factors of 195: 3, 5, 13 (exponent form: 31, 51, 131)
23 × 51 × 31 × 131 = 1560
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/40--195">What is the LCM of 40 and 195? - 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