LCM for 84 and 144

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What's the Least Common Multiple (LCM) of 84 and 144?

Answer

LCM of 84 and 144 is
1,008

First common multiples: 1,008; 2,016; 3,024; …

1,008 is divisible by both: 1,008 ÷ 84 = 12; 1,008 ÷ 144 = 7 — and 12 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 12 and of y/144 by 7.

84 = 22 × 3 × 7

144 = 24 × 32

Prime84144Highest power
2222424
333232
77—7

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

LCM = 24 × 32 × 7 = 1,008

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
841293,612
841305,460
8413111,004
84132924
841331,596
841345,628
841353,780
841362,856
8413711,508
841381,932
8413911,676
84140420
841413,948
841425,964
8414312,012
841441,008
8414512,180
841466,132
84147588
841483,108
8414912,516
841502,100
8415112,684
841523,192
841534,284
84154924
8415513,020
841561,092
8415713,188
841586,636

FAQ

What's the Least Common Multiple (LCM) of 84 and 144?

LCM of 84 and 144 is 1,008

How to find the LCM of 84 and 144 using prime factorization?

To find the LCM of 84 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,008.

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 84 and 144: LCM = 1,008, GCF = 12.

See Also