LCM for 96 and 144

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What's the Least Common Multiple (LCM) of 96 and 144?

Answer

LCM of 96 and 144 is
288

First common multiples: 288, 576, 864, …

288 is divisible by both: 288 ÷ 96 = 3, 288 ÷ 144 = 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/96 by 3 and of y/144 by 2.

96 = 25 × 3

144 = 24 × 32

Prime96144Highest power
2252425
333232

LCM = 25 × 32 = 288

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
961294,128
961306,240
9613112,576
961321,056
9613312,768
961346,432
961354,320
961361,632
9613713,152
961382,208
9613913,344
961403,360
961414,512
961426,816
9614313,728
96144288
9614513,920
961467,008
961474,704
961483,552
9614914,304
961502,400
9615114,496
961521,824
961534,896
961547,392
9615514,880
961561,248
9615715,072
961587,584

FAQ

What's the Least Common Multiple (LCM) of 96 and 144?

LCM of 96 and 144 is 288

How to find the LCM of 96 and 144 using prime factorization?

To find the LCM of 96 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 288.

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 96 and 144: LCM = 288, GCF = 48.

See Also