LCM for 35 and 48
What's the Least Common Multiple (LCM) of 35 and 48?
(One thousand, six hundred eighty)
Finding LCM for 35 and 48 using GCF's of these numbers
The first method to find LCM for numbers 35 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 35 and 48 is 1, so
LCM = (35 × 48) ÷ 1
LCM = 1680 ÷ 1
LCM = 1680
Finding LCM for 35 and 48 by Listing Multiples
The second method to find LCM for numbers 35 and 48 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, 1365, 1400, 1435, 1470, 1505, 1540, 1575, 1610, 1645, 1680, 1715, 1750
Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776
So the LCM for 35 and 48 is 1680
Finding LCM for 35 and 48 by Prime Factorization
Another method to find LCM for numbers 35 and 48 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 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)
51 × 71 × 24 × 31 = 1680
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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