LCM for 65 and 100

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What's the Least Common Multiple (LCM) of 65 and 100?

Answer

LCM of 65 and 100 is
1,300

First common multiples: 1,300; 2,600; 3,900; …

1,300 is divisible by both: 1,300 ÷ 65 = 20; 1,300 ÷ 100 = 13 — and 20 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/65 by 20 and of y/100 by 13.

65 = 5 × 13

100 = 22 × 52

Prime65100Highest power
2—2222
555252
1313—13

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

LCM = 22 × 52 × 13 = 1,300

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LCM Table

Number 1Number 2LCM
65851,105
65865,590
65875,655
65885,720
65895,785
65901,170
6591455
65925,980
65936,045
65946,110
65951,235
65966,240
65976,305
65986,370
65996,435
651001,300
651016,565
651026,630
651036,695
65104520
651051,365
651066,890
651076,955
651087,020
651097,085
651101,430
651117,215
651127,280
651137,345
651147,410

FAQ

What's the Least Common Multiple (LCM) of 65 and 100?

LCM of 65 and 100 is 1,300

How to find the LCM of 65 and 100 using prime factorization?

To find the LCM of 65 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,300.

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 65 and 100: LCM = 1,300, GCF = 5.

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