LCM for 68 and 102

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 68 and 102?

Answer

LCM of 68 and 102 is
204

First common multiples: 204, 408, 612, …

204 is divisible by both: 204 ÷ 68 = 3, 204 ÷ 102 = 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/68 by 3 and of y/102 by 2.

68 = 22 × 17

102 = 2 × 3 × 17

Prime68102Highest power
222222
3—33
17171717

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

LCM = 22 × 3 × 17 = 204

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
68875,916
68881,496
68896,052
68903,060
68916,188
68921,564
68936,324
68943,196
68956,460
68961,632
68976,596
68983,332
68996,732
681001,700
681016,868
68102204
681037,004
681041,768
681057,140
681063,604
681077,276
681081,836
681097,412
681103,740
681117,548
681121,904
681137,684
681143,876
681157,820
681161,972

FAQ

What's the Least Common Multiple (LCM) of 68 and 102?

LCM of 68 and 102 is 204

How to find the LCM of 68 and 102 using prime factorization?

To find the LCM of 68 and 102, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 204.

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 68 and 102: LCM = 204, GCF = 34.

See Also