LCM for 40 and 144

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What's the Least Common Multiple (LCM) of 40 and 144?

Answer

LCM of 40 and 144 is
720

First common multiples: 720; 1,440; 2,160; …

720 is divisible by both: 720 ÷ 40 = 18, 720 ÷ 144 = 5 — and 18 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 18 and of y/144 by 5.

40 = 23 × 5

144 = 24 × 32

Prime40144Highest power
2232424
3—3232
55—5

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

LCM = 24 × 32 × 5 = 720

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
40632,520
4064320
4065520
40661,320
4070280
4072360
408080
4084840
4085680
4090360
4096480
40100200
40115920
40120120
401251,000
40144720
40150600
401551,240
40160160
40180360
401951,560
40220440
402251,800
40230920
402501,000
402552,040
40260520
402652,120
402901,160
40300600

FAQ

What's the Least Common Multiple (LCM) of 40 and 144?

LCM of 40 and 144 is 720

How to find the LCM of 40 and 144 using prime factorization?

To find the LCM of 40 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 720.

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 40 and 144: LCM = 720, GCF = 8.

See Also