LCM for 540 and 306
What's the Least Common Multiple (LCM) of 540 and 306?
(Nine thousand, one hundred eighty)
Finding LCM for 540 and 306 using GCF's of these numbers
The first method to find LCM for numbers 540 and 306 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 540 and 306 is 18, so
LCM = (540 × 306) ÷ 18
LCM = 165240 ÷ 18
LCM = 9180
Finding LCM for 540 and 306 by Listing Multiples
The second method to find LCM for numbers 540 and 306 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 540: 540, 1080, 1620, 2160, 2700, 3240, 3780, 4320, 4860, 5400, 5940, 6480, 7020, 7560, 8100, 8640, 9180, 9720, 10260
Multiples of 306: 306, 612, 918, 1224, 1530, 1836, 2142, 2448, 2754, 3060, 3366, 3672, 3978, 4284, 4590, 4896, 5202, 5508, 5814, 6120, 6426, 6732, 7038, 7344, 7650, 7956, 8262, 8568, 8874, 9180, 9486, 9792
So the LCM for 540 and 306 is 9180
Finding LCM for 540 and 306 by Prime Factorization
Another method to find LCM for numbers 540 and 306 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 540: 2, 2, 3, 3, 3, 5 (exponent form: 22, 33, 51)
All Prime Factors of 306: 2, 3, 3, 17 (exponent form: 21, 32, 171)
22 × 33 × 51 × 171 = 9180
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
525 | 306 | 53550 |
526 | 306 | 80478 |
527 | 306 | 9486 |
528 | 306 | 26928 |
529 | 306 | 161874 |
530 | 306 | 81090 |
531 | 306 | 18054 |
532 | 306 | 81396 |
533 | 306 | 163098 |
534 | 306 | 27234 |
535 | 306 | 163710 |
536 | 306 | 82008 |
537 | 306 | 54774 |
538 | 306 | 82314 |
539 | 306 | 164934 |
540 | 306 | 9180 |
541 | 306 | 165546 |
542 | 306 | 82926 |
543 | 306 | 55386 |
544 | 306 | 4896 |
545 | 306 | 166770 |
546 | 306 | 27846 |
547 | 306 | 167382 |
548 | 306 | 83844 |
549 | 306 | 18666 |
550 | 306 | 84150 |
551 | 306 | 168606 |
552 | 306 | 28152 |
553 | 306 | 169218 |
554 | 306 | 84762 |
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