LCM for 200 and 300

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What's the Least Common Multiple (LCM) of 200 and 300?

Answer

LCM of 200 and 300 is
600

First common multiples: 600; 1,200; 1,800; …

600 is divisible by both: 600 ÷ 200 = 3, 600 ÷ 300 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/200 by 3 and of y/300 by 2.

200 = 23 × 52

300 = 22 × 3 × 52

Prime200300Highest power
2232223
3—33
5525252

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

LCM = 23 × 3 × 52 = 600

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LCM Table

Number 1Number 2LCM
20028511,400
20028628,600
20028757,400
2002887,200
20028957,800
2002905,800
20029158,200
20029214,600
20029358,600
20029429,400
20029511,800
2002967,400
20029759,400
20029829,800
20029959,800
200300600
20030160,200
20030230,200
20030360,600
2003047,600
20030512,200
20030630,600
20030761,400
20030815,400
20030961,800
2003106,200
20031162,200
2003127,800
20031362,600
20031431,400

FAQ

What's the Least Common Multiple (LCM) of 200 and 300?

LCM of 200 and 300 is 600

How to find the LCM of 200 and 300 using prime factorization?

To find the LCM of 200 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 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 200 and 300: LCM = 600, GCF = 100.

See Also