LCM for 25 and 144

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What's the Least Common Multiple (LCM) of 25 and 144?

Answer

LCM of 25 and 144 is
3,600

First common multiples: 3,600; 7,200; 10,800; …

3,600 is divisible by both: 3,600 ÷ 25 = 144; 3,600 ÷ 144 = 25 — and 144 and 25 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/25 by 144 and of y/144 by 25.

25 and 144 are coprime (GCF = 1), so their LCM is simply the product: 25 × 144 = 3,600.

25 = 52

144 = 24 × 32

Prime25144Highest power
2—2424
3—3232
552—52

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 24 × 32 × 52 = 3,600

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
2535175
2536900
2537925
2538950
2540200
25411,025
25421,050
2545225
25461,150
25481,200
25491,225
255050
25531,325
2555275
2560300
25641,600
2565325
2570350
257575
2580400
25812,025
2590450
25100100
25105525
251213,025
25125125
251443,600
25150150
25175175
25200200

FAQ

What's the Least Common Multiple (LCM) of 25 and 144?

LCM of 25 and 144 is 3,600

How to find the LCM of 25 and 144 using prime factorization?

To find the LCM of 25 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,600.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 25 and 144: LCM = 3,600, GCF = 1.

See Also