LCM for 648 and 1,029

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What's the Least Common Multiple (LCM) of 648 and 1,029?

Answer

LCM of 648 and 1,029 is
222,264

First common multiples: 222,264; 444,528; 666,792; …

222,264 is divisible by both: 222,264 ÷ 648 = 343; 222,264 ÷ 1,029 = 216 — and 343 and 216 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/648 by 343 and of y/1,029 by 216.

648 = 23 × 34

1,029 = 3 × 73

Prime6481,029Highest power
223—23
334334
7—7373

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

LCM = 23 × 34 × 73 = 222,264

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
6481,014109,512
6481,015657,720
6481,01682,296
6481,01773,224
6481,018329,832
6481,019660,312
6481,02055,080
6481,021661,608
6481,022331,128
6481,023220,968
6481,02482,944
6481,025664,200
6481,02612,312
6481,027665,496
6481,028166,536
6481,029222,264
6481,030333,720
6481,031668,088
6481,03227,864
6481,033669,384
6481,034335,016
6481,03574,520
6481,036167,832
6481,037671,976
6481,038112,104
6481,039673,272
6481,04084,240
6481,041224,856
6481,042337,608
6481,043675,864

FAQ

What's the Least Common Multiple (LCM) of 648 and 1,029?

LCM of 648 and 1,029 is 222,264

How to find the LCM of 648 and 1,029 using prime factorization?

To find the LCM of 648 and 1,029, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 222,264.

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 648 and 1,029: LCM = 222,264, GCF = 3.

See Also