LCM for 144 and 1,000

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What's the Least Common Multiple (LCM) of 144 and 1,000?

Answer

LCM of 144 and 1,000 is
18,000

First common multiples: 18,000; 36,000; 54,000; …

18,000 is divisible by both: 18,000 ÷ 144 = 125; 18,000 ÷ 1,000 = 18 — and 125 and 18 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/144 by 125 and of y/1,000 by 18.

144 = 24 × 32

1,000 = 23 × 53

Prime1441,000Highest power
2242324
332—32
5—5353

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

LCM = 24 × 32 × 53 = 18,000

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
144985141,840
14498670,992
14498747,376
14498835,568
144989142,416
1449907,920
144991142,704
1449928,928
14499347,664
14499471,568
144995143,280
14499611,952
144997143,568
14499871,856
14499915,984
1441,00018,000
1441,001144,144
1441,00224,048
1441,003144,432
1441,00436,144
1441,00548,240
1441,00672,432
1441,007145,008
1441,0081,008
1441,009145,296
1441,01072,720
1441,01148,528
1441,01236,432
1441,013145,872
1441,01424,336

FAQ

What's the Least Common Multiple (LCM) of 144 and 1,000?

LCM of 144 and 1,000 is 18,000

How to find the LCM of 144 and 1,000 using prime factorization?

To find the LCM of 144 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 18,000.

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 144 and 1,000: LCM = 18,000, GCF = 8.

See Also