LCM for 168 and 252

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What's the Least Common Multiple (LCM) of 168 and 252?

Answer

LCM of 168 and 252 is
504

First common multiples: 504; 1,008; 1,512; …

504 is divisible by both: 504 ÷ 168 = 3, 504 ÷ 252 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/168 by 3 and of y/252 by 2.

168 = 23 × 3 × 7

252 = 22 × 32 × 7

Prime168252Highest power
2232223
333232
7777

LCM = 23 × 32 × 7 = 504

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
16823713,272
1682382,856
16823940,152
1682401,680
16824140,488
16824220,328
16824313,608
16824410,248
1682455,880
1682466,888
16824741,496
1682485,208
16824913,944
16825021,000
16825142,168
168252504
16825342,504
16825421,336
16825514,280
1682565,376
16825743,176
1682587,224
1682596,216
16826010,920
16826114,616
16826222,008
16826344,184
1682641,848
16826544,520
1682663,192

FAQ

What's the Least Common Multiple (LCM) of 168 and 252?

LCM of 168 and 252 is 504

How to find the LCM of 168 and 252 using prime factorization?

To find the LCM of 168 and 252, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 504.

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 168 and 252: LCM = 504, GCF = 84.

See Also