LCM for 121 and 280

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What's the Least Common Multiple (LCM) of 121 and 280?

Answer

LCM of 121 and 280 is
33,880

First common multiples: 33,880; 67,760; 101,640; …

33,880 is divisible by both: 33,880 ÷ 121 = 280; 33,880 ÷ 280 = 121 — and 280 and 121 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/121 by 280 and of y/280 by 121.

121 and 280 are coprime (GCF = 1), so their LCM is simply the product: 121 × 280 = 33,880.

121 = 112

280 = 23 × 5 × 7

Prime121280Highest power
2—2323
5—55
7—77
11112—112

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

LCM = 23 × 5 × 7 × 112 = 33,880

See Also

LCM Table

Number 1Number 2LCM
12126532,065
12126632,186
12126732,307
12126832,428
12126932,549
12127032,670
12127132,791
12127232,912
12127333,033
12127433,154
1212753,025
12127633,396
12127733,517
12127833,638
12127933,759
12128033,880
12128134,001
12128234,122
12128334,243
12128434,364
12128534,485
1212863,146
12128734,727
12128834,848
12128934,969
12129035,090
12129135,211
12129235,332
12129335,453
12129435,574

FAQ

What's the Least Common Multiple (LCM) of 121 and 280?

LCM of 121 and 280 is 33,880

How to find the LCM of 121 and 280 using prime factorization?

To find the LCM of 121 and 280, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 33,880.

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 121 and 280: LCM = 33,880, GCF = 1.