LCM for 150 and 180

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 150 and 180?

Answer

LCM of 150 and 180 is
900

First common multiples: 900; 1,800; 2,700; …

900 is divisible by both: 900 ÷ 150 = 6, 900 ÷ 180 = 5 — and 6 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/150 by 6 and of y/180 by 5.

150 = 2 × 3 × 52

180 = 22 × 32 × 5

Prime150180Highest power
222222
333232
552552

LCM = 22 × 32 × 52 = 900

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
1501651,650
15016612,450
15016725,050
1501684,200
15016925,350
1501702,550
1501718,550
15017212,900
15017325,950
1501744,350
1501751,050
15017613,200
1501778,850
15017813,350
15017926,850
150180900
15018127,150
15018213,650
1501839,150
15018413,800
1501855,550
1501864,650
15018728,050
15018814,100
1501899,450
1501902,850
15019128,650
1501924,800
15019328,950
15019414,550

FAQ

What's the Least Common Multiple (LCM) of 150 and 180?

LCM of 150 and 180 is 900

How to find the LCM of 150 and 180 using prime factorization?

To find the LCM of 150 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

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 180: LCM = 900, GCF = 30.

See Also