LCM for 39 and 50
What's the Least Common Multiple (LCM) of 39 and 50?
Answer
(One thousand, nine hundred fifty)
Finding LCM for 39 and 50 using GCF of these numbers
The first method to find LCM for numbers 39 and 50 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 39 and 50 is 1, so
LCM = (39 × 50) ÷ 1
LCM = 1950 ÷ 1
LCM = 1950
Finding LCM for 39 and 50 by Listing Multiples
The second method to find LCM for numbers 39 and 50 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780, 819, 858, 897, 936, 975, 1014, 1053, 1092, 1131, 1170, 1209, 1248, 1287, 1326, 1365, 1404, 1443, 1482, 1521, 1560, 1599, 1638, 1677, 1716, 1755, 1794, 1833, 1872, 1911, 1950, 1989, 2028
Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 1050, 1100, 1150, 1200, 1250, 1300, 1350, 1400, 1450, 1500, 1550, 1600, 1650, 1700, 1750, 1800, 1850, 1900, 1950, 2000, 2050
So the LCM for 39 and 50 is 1950
Finding LCM for 39 and 50 by Prime Factorization
Another method to find LCM for numbers 39 and 50 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 39: 3, 13 (exponent form: 31, 131)
All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)
31 × 131 × 21 × 52 = 1950
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/39--50">What is the LCM of 39 and 50? - 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