LCM for 300 and 180

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 300 and 180?

Answer

LCM of 300 and 180 is
900

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

900 is divisible by both: 900 ÷ 300 = 3, 900 ÷ 180 = 5 — and 3 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/300 by 3 and of y/180 by 5.

300 = 22 × 3 × 52

180 = 22 × 32 × 5

Prime300180Highest power
2222222
333232
552552

LCM = 22 × 32 × 52 = 900

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
3001653,300
30016624,900
30016750,100
3001684,200
30016950,700
3001705,100
30017117,100
30017212,900
30017351,900
3001748,700
3001752,100
30017613,200
30017717,700
30017826,700
30017953,700
300180900
30018154,300
30018227,300
30018318,300
30018413,800
30018511,100
3001869,300
30018756,100
30018814,100
30018918,900
3001905,700
30019157,300
3001924,800
30019357,900
30019429,100

FAQ

What's the Least Common Multiple (LCM) of 300 and 180?

LCM of 300 and 180 is 900

How to find the LCM of 300 and 180 using prime factorization?

To find the LCM of 300 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 300 and 180: LCM = 900, GCF = 60.

See Also