LCM for 41 and 60
What's the Least Common Multiple (LCM) of 41 and 60?
(Two thousand, four hundred sixty)
Finding LCM for 41 and 60 using GCF's of these numbers
The first method to find LCM for numbers 41 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 41 and 60 is 1, so
LCM = (41 × 60) ÷ 1
LCM = 2460 ÷ 1
LCM = 2460
Finding LCM for 41 and 60 by Listing Multiples
The second method to find LCM for numbers 41 and 60 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 41: 41, 82, 123, 164, 205, 246, 287, 328, 369, 410, 451, 492, 533, 574, 615, 656, 697, 738, 779, 820, 861, 902, 943, 984, 1025, 1066, 1107, 1148, 1189, 1230, 1271, 1312, 1353, 1394, 1435, 1476, 1517, 1558, 1599, 1640, 1681, 1722, 1763, 1804, 1845, 1886, 1927, 1968, 2009, 2050, 2091, 2132, 2173, 2214, 2255, 2296, 2337, 2378, 2419, 2460, 2501, 2542
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580
So the LCM for 41 and 60 is 2460
Finding LCM for 41 and 60 by Prime Factorization
Another method to find LCM for numbers 41 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 41: 41 (exponent form: 411)
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
411 × 22 × 31 × 51 = 2460
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/41--60">What is the LCM of 41 and 60? - 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