LCM for 10 and 200

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What's the Least Common Multiple (LCM) of 10 and 200?

Answer

LCM of 10 and 200 is
200

First common multiples: 200, 400, 600, …

As a common denominator: multiply the top and bottom of x/10 by 20.

10 divides 200 (200 ÷ 10 = 20), so the LCM is the larger number itself.

10 = 2 × 5

200 = 23 × 52

Prime10200Highest power
222323
555252

LCM = 23 × 52 = 200

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LCM Table

Number 1Number 2LCM
1095190
1099990
10100100
10105210
10110110
10120120
10135270
10145290
10150150
10155310
10160160
10165330
10180180
10190190
10195390
10200200
10215430
10225450
10235470
10250250
10260260
10265530
10275550
10280280
10305610
10310310
10320320
10325650
10330330
10350350

FAQ

What's the Least Common Multiple (LCM) of 10 and 200?

LCM of 10 and 200 is 200

How to find the LCM of 10 and 200 using prime factorization?

To find the LCM of 10 and 200, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 200.

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 10 and 200: LCM = 200, GCF = 10.

See Also