LCM for 40 and 375
What's the Least Common Multiple (LCM) of 40 and 375?
Answer
(Three thousand)
Finding LCM for 40 and 375 using GCF of these numbers
The first method to find LCM for numbers 40 and 375 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 375 is 5, so
LCM = (40 × 375) ÷ 5
LCM = 15000 ÷ 5
LCM = 3000
Finding LCM for 40 and 375 by Listing Multiples
The second method to find LCM for numbers 40 and 375 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, 1680, 1720, 1760, 1800, 1840, 1880, 1920, 1960, 2000, 2040, 2080, 2120, 2160, 2200, 2240, 2280, 2320, 2360, 2400, 2440, 2480, 2520, 2560, 2600, 2640, 2680, 2720, 2760, 2800, 2840, 2880, 2920, 2960, 3000, 3040, 3080
Multiples of 375: 375, 750, 1125, 1500, 1875, 2250, 2625, 3000, 3375, 3750
So the LCM for 40 and 375 is 3000
Finding LCM for 40 and 375 by Prime Factorization
Another method to find LCM for numbers 40 and 375 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 375: 3, 5, 5, 5 (exponent form: 31, 53)
23 × 53 × 31 = 3000
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--375">What is the LCM of 40 and 375? - 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