LCM for 121 and 169

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What's the Least Common Multiple (LCM) of 121 and 169?

Answer

LCM of 121 and 169 is
20,449

First common multiples: 20,449; 40,898; 61,347; …

20,449 is divisible by both: 20,449 ÷ 121 = 169; 20,449 ÷ 169 = 121 — and 169 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 169 and of y/169 by 121.

121 and 169 are coprime (GCF = 1), so their LCM is simply the product: 121 × 169 = 20,449.

121 = 112

169 = 132

Prime121169Highest power
11112—112
13—132132

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

LCM = 112 × 132 = 20,449

See Also

LCM Table

Number 1Number 2LCM
1211541,694
12115518,755
12115618,876
12115718,997
12115819,118
12115919,239
12116019,360
12116119,481
12116219,602
12116319,723
12116419,844
1211651,815
12116620,086
12116720,207
12116820,328
12116920,449
12117020,570
12117120,691
12117220,812
12117320,933
12117421,054
12117521,175
1211761,936
12117721,417
12117821,538
12117921,659
12118021,780
12118121,901
12118222,022
12118322,143

FAQ

What's the Least Common Multiple (LCM) of 121 and 169?

LCM of 121 and 169 is 20,449

How to find the LCM of 121 and 169 using prime factorization?

To find the LCM of 121 and 169, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 20,449.

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 169: LCM = 20,449, GCF = 1.