LCM for 18 and 48

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What's the Least Common Multiple (LCM) of 18 and 48?

Answer

LCM of 18 and 48 is
144

First common multiples: 144, 288, 432, …

144 is divisible by both: 144 ÷ 18 = 8, 144 ÷ 48 = 3 — and 8 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 8 and of y/48 by 3.

18 = 2 × 32

48 = 24 × 3

Prime1848Highest power
222424
332332

LCM = 24 × 32 = 144

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LCM Table

Number 1Number 2LCM
182754
1828252
183090
1831558
1832288
1833198
1835630
183636
1837666
1838342
1839234
1840360
1841738
1842126
184590
1848144
1849882
1852468
185454
1856504
1857342
18591,062
1860180
1863126
1864576
1866198
1870630
187272
1875450
1878234

FAQ

What's the Least Common Multiple (LCM) of 18 and 48?

LCM of 18 and 48 is 144

How to find the LCM of 18 and 48 using prime factorization?

To find the LCM of 18 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 144.

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 18 and 48: LCM = 144, GCF = 6.

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