What is the LCM of 9 and 21?

What's the Least Common Multiple (LCM) of 9 and 21?

Answer

LCM of 9 and 21 is

63

First common multiples: 63, 126, 189, …

63 is divisible by both: 63 ÷ 9 = 7, 63 ÷ 21 = 3 — and 7 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/9 by 7 and of y/21 by 3.

9 = 3²

21 = 3 × 7

Prime	9	21	Highest power
3	3²	3	3²
7	—	7	7

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

LCM = 3² × 7 = 63

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What is the LCM of 9 and 21? The LCM of 9 and 21 is 63 — the smallest common multiple of both integers.

https://calculat.io/en/number/least-common-multiple-lcm-of/9--21/generated.jpg

LCM Table

Number 1	Number 2	LCM
9	4	36
9	5	45
9	6	18
9	7	63
9	8	72
9	10	90
9	11	99
9	12	36
9	13	117
9	14	126
9	15	45
9	16	144
9	17	153
9	18	18
9	20	180
9	21	63
9	22	198
9	24	72
9	25	225
9	27	27
9	28	252
9	29	261
9	30	90
9	32	288
9	33	99
9	35	315
9	36	36
9	38	342
9	39	117
9	40	360

LCM for 9 and 21

What's the Least Common Multiple (LCM) of 9 and 21?

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LCM Table

FAQ

What's the Least Common Multiple (LCM) of 9 and 21?

How to find the LCM of 9 and 21 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
9	4	36
9	5	45
9	6	18
9	7	63
9	8	72
9	10	90
9	11	99
9	12	36
9	13	117
9	14	126
9	15	45
9	16	144
9	17	153
9	18	18
9	20	180
9	21	63
9	22	198
9	24	72
9	25	225
9	27	27
9	28	252
9	29	261
9	30	90
9	32	288
9	33	99
9	35	315
9	36	36
9	38	342
9	39	117
9	40	360

Number 1	Number 2	LCM
9	4	36
9	5	45
9	6	18
9	7	63
9	8	72
9	10	90
9	11	99
9	12	36
9	13	117
9	14	126
9	15	45
9	16	144
9	17	153
9	18	18
9	20	180
9	21	63
9	22	198
9	24	72
9	25	225
9	27	27
9	28	252
9	29	261
9	30	90
9	32	288
9	33	99
9	35	315
9	36	36
9	38	342
9	39	117
9	40	360

Number 1	Number 2	LCM
9	4	36
9	5	45
9	6	18
9	7	63
9	8	72
9	10	90
9	11	99
9	12	36
9	13	117
9	14	126
9	15	45
9	16	144
9	17	153
9	18	18
9	20	180
9	21	63
9	22	198
9	24	72
9	25	225
9	27	27
9	28	252
9	29	261
9	30	90
9	32	288
9	33	99
9	35	315
9	36	36
9	38	342
9	39	117
9	40	360