LCM for 18 and 30

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What's the Least Common Multiple (LCM) of 18 and 30?

Answer

LCM of 18 and 30 is
90

First common multiples: 90, 180, 270, …

90 is divisible by both: 90 ÷ 18 = 5, 90 ÷ 30 = 3 — and 5 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 5 and of y/30 by 3.

18 = 2 × 32

30 = 2 × 3 × 5

Prime1830Highest power
2222
332332
5—55

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

LCM = 2 × 32 × 5 = 90

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LCM Table

Number 1Number 2LCM
181236
1814126
181590
1819342
1820180
1821126
1822198
182472
1825450
1826234
182754
1828252
183090
1831558
1832288
1833198
1835630
183636
1837666
1838342
1839234
1840360
1841738
1842126
184590
1848144
1849882
1852468
185454
1856504

FAQ

What's the Least Common Multiple (LCM) of 18 and 30?

LCM of 18 and 30 is 90

How to find the LCM of 18 and 30 using prime factorization?

To find the LCM of 18 and 30, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 90.

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 30: LCM = 90, GCF = 6.

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