LCM for 95 and 105

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What's the Least Common Multiple (LCM) of 95 and 105?

Answer

LCM of 95 and 105 is
1,995

First common multiples: 1,995; 3,990; 5,985; …

1,995 is divisible by both: 1,995 ÷ 95 = 21; 1,995 ÷ 105 = 19 — and 21 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/95 by 21 and of y/105 by 19.

95 = 5 × 19

105 = 3 × 5 × 7

Prime95105Highest power
3—33
5555
7—77
1919—19

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

LCM = 3 × 5 × 7 × 19 = 1,995

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
95901,710
95918,645
95928,740
95938,835
95948,930
959595
95969,120
95979,215
95989,310
95999,405
951001,900
951019,595
951029,690
951039,785
951049,880
951051,995
9510610,070
9510710,165
9510810,260
9510910,355
951102,090
9511110,545
9511210,640
9511310,735
95114570
951152,185
9511611,020
9511711,115
9511811,210
9511911,305

FAQ

What's the Least Common Multiple (LCM) of 95 and 105?

LCM of 95 and 105 is 1,995

How to find the LCM of 95 and 105 using prime factorization?

To find the LCM of 95 and 105, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,995.

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 95 and 105: LCM = 1,995, GCF = 5.

See Also