LCM for 100 and 400

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What's the Least Common Multiple (LCM) of 100 and 400?

Answer

LCM of 100 and 400 is
400

First common multiples: 400; 800; 1,200; …

As a common denominator: multiply the top and bottom of x/100 by 4.

100 divides 400 (400 ÷ 100 = 4), so the LCM is the larger number itself.

100 = 22 × 52

400 = 24 × 52

Prime100400Highest power
2222424
5525252

LCM = 24 × 52 = 400

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LCM Table

Number 1Number 2LCM
100200200
1002154,300
1002201,100
100225900
1002401,200
100250500
1002555,100
1002601,300
1002702,700
1002751,100
1002855,700
1002902,900
1003201,600
1003251,300
1003303,300
1003401,700
1003601,800
1003657,300
1003751,500
1003857,700
100400400
1004058,100
1004158,300
1004458,900
100450900
1004659,300
1004704,700
1004904,900
100500500
1001,0001,000

FAQ

What's the Least Common Multiple (LCM) of 100 and 400?

LCM of 100 and 400 is 400

How to find the LCM of 100 and 400 using prime factorization?

To find the LCM of 100 and 400, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 400.

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 100 and 400: LCM = 400, GCF = 100.

See Also