LCM for 98 and 105

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What's the Least Common Multiple (LCM) of 98 and 105?

Answer

LCM of 98 and 105 is
1,470

First common multiples: 1,470; 2,940; 4,410; …

1,470 is divisible by both: 1,470 ÷ 98 = 15; 1,470 ÷ 105 = 14 — and 15 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/98 by 15 and of y/105 by 14.

98 = 2 × 72

105 = 3 × 5 × 7

Prime98105Highest power
22—2
3—33
5—55
772772

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

LCM = 2 × 3 × 5 × 72 = 1,470

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
98904,410
98911,274
98924,508
98939,114
98944,606
98959,310
98964,704
98979,506
989898
98999,702
981004,900
981019,898
981024,998
9810310,094
981045,096
981051,470
981065,194
9810710,486
981085,292
9810910,682
981105,390
9811110,878
98112784
9811311,074
981145,586
9811511,270
981165,684
9811711,466
981185,782
981191,666

FAQ

What's the Least Common Multiple (LCM) of 98 and 105?

LCM of 98 and 105 is 1,470

How to find the LCM of 98 and 105 using prime factorization?

To find the LCM of 98 and 105, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,470.

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 98 and 105: LCM = 1,470, GCF = 7.

See Also