LCM for 81 and 117

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 81 and 117?

Answer

LCM of 81 and 117 is
1,053

First common multiples: 1,053; 2,106; 3,159; …

1,053 is divisible by both: 1,053 ÷ 81 = 13; 1,053 ÷ 117 = 9 — and 13 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/81 by 13 and of y/117 by 9.

81 = 34

117 = 32 × 13

Prime81117Highest power
3343234
13—1313

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

LCM = 34 × 13 = 1,053

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
811022,754
811038,343
811048,424
811052,835
811068,586
811078,667
81108324
811098,829
811108,910
811112,997
811129,072
811139,153
811143,078
811159,315
811169,396
811171,053
811189,558
811199,639
811203,240
811219,801
811229,882
811233,321
8112410,044
8112510,125
811261,134
8112710,287
8112810,368
811293,483
8113010,530
8113110,611

FAQ

What's the Least Common Multiple (LCM) of 81 and 117?

LCM of 81 and 117 is 1,053

How to find the LCM of 81 and 117 using prime factorization?

To find the LCM of 81 and 117, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,053.

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 81 and 117: LCM = 1,053, GCF = 9.

See Also