LCM for 150 and 225

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What's the Least Common Multiple (LCM) of 150 and 225?

Answer

LCM of 150 and 225 is
450

First common multiples: 450; 900; 1,350; …

450 is divisible by both: 450 ÷ 150 = 3, 450 ÷ 225 = 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/150 by 3 and of y/225 by 2.

150 = 2 × 3 × 52

225 = 32 × 52

Prime150225Highest power
22—2
333232
5525252

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

LCM = 2 × 32 × 52 = 450

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1502101,050
15021131,650
15021215,900
15021310,650
15021416,050
1502156,450
1502165,400
15021732,550
15021816,350
15021910,950
1502203,300
15022133,150
1502225,550
15022333,450
15022416,800
150225450
15022616,950
15022734,050
1502285,700
15022934,350
1502303,450
15023111,550
15023217,400
15023334,950
1502345,850
1502357,050
15023617,700
15023711,850
15023817,850
15023935,850

FAQ

What's the Least Common Multiple (LCM) of 150 and 225?

LCM of 150 and 225 is 450

How to find the LCM of 150 and 225 using prime factorization?

To find the LCM of 150 and 225, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 450.

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 150 and 225: LCM = 450, GCF = 75.

See Also