LCM for 125 and 1,000

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What's the Least Common Multiple (LCM) of 125 and 1,000?

Answer

LCM of 125 and 1,000 is
1,000

First common multiples: 1,000; 2,000; 3,000; …

As a common denominator: multiply the top and bottom of x/125 by 8.

125 divides 1,000 (1,000 ÷ 125 = 8), so the LCM is the larger number itself.

125 = 53

1,000 = 23 × 53

Prime1251,000Highest power
2—2323
5535353

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

LCM = 23 × 53 = 1,000

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
12598524,625
125986123,250
125987123,375
125988123,500
125989123,625
12599024,750
125991123,875
125992124,000
125993124,125
125994124,250
12599524,875
125996124,500
125997124,625
125998124,750
125999124,875
1251,0001,000
1251,001125,125
1251,002125,250
1251,003125,375
1251,004125,500
1251,00525,125
1251,006125,750
1251,007125,875
1251,008126,000
1251,009126,125
1251,01025,250
1251,011126,375
1251,012126,500
1251,013126,625
1251,014126,750

FAQ

What's the Least Common Multiple (LCM) of 125 and 1,000?

LCM of 125 and 1,000 is 1,000

How to find the LCM of 125 and 1,000 using prime factorization?

To find the LCM of 125 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,000.

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 125 and 1,000: LCM = 1,000, GCF = 125.

See Also