LCM for 121 and 144

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 121 and 144?

Answer

LCM of 121 and 144 is
17,424

First common multiples: 17,424; 34,848; 52,272; …

17,424 is divisible by both: 17,424 ÷ 121 = 144; 17,424 ÷ 144 = 121 — and 144 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 144 and of y/144 by 121.

121 and 144 are coprime (GCF = 1), so their LCM is simply the product: 121 × 144 = 17,424.

121 = 112

144 = 24 × 32

Prime121144Highest power
2—2424
3—3232
11112—112

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

LCM = 24 × 32 × 112 = 17,424

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
12112915,609
12113015,730
12113115,851
1211321,452
12113316,093
12113416,214
12113516,335
12113616,456
12113716,577
12113816,698
12113916,819
12114016,940
12114117,061
12114217,182
1211431,573
12114417,424
12114517,545
12114617,666
12114717,787
12114817,908
12114918,029
12115018,150
12115118,271
12115218,392
12115318,513
1211541,694
12115518,755
12115618,876
12115718,997
12115819,118

FAQ

What's the Least Common Multiple (LCM) of 121 and 144?

LCM of 121 and 144 is 17,424

How to find the LCM of 121 and 144 using prime factorization?

To find the LCM of 121 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 17,424.

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 144: LCM = 17,424, GCF = 1.

See Also