LCM for 9 and 100

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What's the Least Common Multiple (LCM) of 9 and 100?

Answer

LCM of 9 and 100 is
900

First common multiples: 900; 1,800; 2,700; …

900 is divisible by both: 900 ÷ 9 = 100, 900 ÷ 100 = 9 — and 100 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/9 by 100 and of y/100 by 9.

9 and 100 are coprime (GCF = 1), so their LCM is simply the product: 9 × 100 = 900.

9 = 32

100 = 22 × 52

Prime9100Highest power
2—2222
332—32
5—5252

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

LCM = 22 × 32 × 52 = 900

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LCM Table

Number 1Number 2LCM
92163
922198
92472
925225
92727
928252
929261
93090
932288
93399
935315
93636
938342
939117
940360
941369
943387
944396
94545
946414
948144
950450
951153
952468
95454
959531
96363
9100900
91211,089
9132396

FAQ

What's the Least Common Multiple (LCM) of 9 and 100?

LCM of 9 and 100 is 900

How to find the LCM of 9 and 100 using prime factorization?

To find the LCM of 9 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

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 9 and 100: LCM = 900, GCF = 1.

See Also