LCM for 35 and 36
What's the Least Common Multiple (LCM) of 35 and 36?
(One thousand, two hundred sixty)
Finding LCM for 35 and 36 using GCF's of these numbers
The first method to find LCM for numbers 35 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 35 and 36 is 1, so
LCM = (35 × 36) ÷ 1
LCM = 1260 ÷ 1
LCM = 1260
Finding LCM for 35 and 36 by Listing Multiples
The second method to find LCM for numbers 35 and 36 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770, 805, 840, 875, 910, 945, 980, 1015, 1050, 1085, 1120, 1155, 1190, 1225, 1260, 1295, 1330
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332
So the LCM for 35 and 36 is 1260
Finding LCM for 35 and 36 by Prime Factorization
Another method to find LCM for numbers 35 and 36 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 35: 5, 7 (exponent form: 51, 71)
All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)
51 × 71 × 22 × 32 = 1260
Related Calculations
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/35--36">What is the LCM of 35 and 36? - 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