LCM for 75 and 100

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What's the Least Common Multiple (LCM) of 75 and 100?

Answer

LCM of 75 and 100 is
300

First common multiples: 300, 600, 900, …

300 is divisible by both: 300 ÷ 75 = 4, 300 ÷ 100 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 4 and of y/100 by 3.

75 = 3 × 52

100 = 22 × 52

Prime75100Highest power
2—2222
33—3
5525252

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

LCM = 22 × 3 × 52 = 300

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LCM Table

Number 1Number 2LCM
75851,275
75866,450
75872,175
75886,600
75896,675
7590450
75916,825
75926,900
75932,325
75947,050
75951,425
75962,400
75977,275
75987,350
75992,475
75100300
751017,575
751022,550
751037,725
751047,800
75105525
751067,950
751078,025
751082,700
751098,175
751101,650
751112,775
751128,400
751138,475
751142,850

FAQ

What's the Least Common Multiple (LCM) of 75 and 100?

LCM of 75 and 100 is 300

How to find the LCM of 75 and 100 using prime factorization?

To find the LCM of 75 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 75 and 100: LCM = 300, GCF = 25.

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