LCM for 82 and 122

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 82 and 122?

Answer

LCM of 82 and 122 is

5,002

First common multiples: 5,002; 10,004; 15,006; …

5,002 is divisible by both: 5,002 ÷ 82 = 61; 5,002 ÷ 122 = 41 — and 61 and 41 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/82 by 61 and of y/122 by 41.

82 = 2 × 41

122 = 2 × 61

Prime	82	122	Highest power
2	2	2	2
41	41	—	41
61	—	61	61

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

LCM = 2 × 41 × 61 = 5,002

More with these numbers

LCM Table

Number 1	Number 2	LCM
82	107	8,774
82	108	4,428
82	109	8,938
82	110	4,510
82	111	9,102
82	112	4,592
82	113	9,266
82	114	4,674
82	115	9,430
82	116	4,756
82	117	9,594
82	118	4,838
82	119	9,758
82	120	4,920
82	121	9,922
82	122	5,002
82	123	246
82	124	5,084
82	125	10,250
82	126	5,166
82	127	10,414
82	128	5,248
82	129	10,578
82	130	5,330
82	131	10,742
82	132	5,412
82	133	10,906
82	134	5,494
82	135	11,070
82	136	5,576

FAQ

What's the Least Common Multiple (LCM) of 82 and 122?

LCM of 82 and 122 is 5,002

How to find the LCM of 82 and 122 using prime factorization?

To find the LCM of 82 and 122, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,002.

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 82 and 122: LCM = 5,002, GCF = 2.

LCM for 82 and 122

What's the Least Common Multiple (LCM) of 82 and 122?

More with these numbers

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 82 and 122?

How to find the LCM of 82 and 122 using prime factorization?

What is the difference between LCM and GCF?

See Also