LCM for 210 and 252

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What's the Least Common Multiple (LCM) of 210 and 252?

Answer

LCM of 210 and 252 is
1,260

First common multiples: 1,260; 2,520; 3,780; …

1,260 is divisible by both: 1,260 ÷ 210 = 6; 1,260 ÷ 252 = 5 — and 6 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/210 by 6 and of y/252 by 5.

210 = 2 × 3 × 5 × 7

252 = 22 × 32 × 7

Prime210252Highest power
222222
333232
55—5
7777

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

LCM = 22 × 32 × 5 × 7 = 1,260

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
21023716,590
2102383,570
21023950,190
2102401,680
21024150,610
21024225,410
21024317,010
21024425,620
2102451,470
2102468,610
21024751,870
21024826,040
21024917,430
2102505,250
21025152,710
2102521,260
21025353,130
21025426,670
2102553,570
21025626,880
21025753,970
2102589,030
2102597,770
2102605,460
21026118,270
21026227,510
21026355,230
2102649,240
21026511,130
2102663,990

FAQ

What's the Least Common Multiple (LCM) of 210 and 252?

LCM of 210 and 252 is 1,260

How to find the LCM of 210 and 252 using prime factorization?

To find the LCM of 210 and 252, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

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 210 and 252: LCM = 1,260, GCF = 42.

See Also