LCM for 38 and 95

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What's the Least Common Multiple (LCM) of 38 and 95?

Answer

LCM of 38 and 95 is
190

First common multiples: 190, 380, 570, …

190 is divisible by both: 190 ÷ 38 = 5, 190 ÷ 95 = 2 — and 5 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/38 by 5 and of y/95 by 2.

38 = 2 × 19

95 = 5 × 19

Prime3895Highest power
22—2
5—55
19191919

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

LCM = 2 × 5 × 19 = 190

See Also

LCM Table

Number 1Number 2LCM
38801,520
38813,078
38821,558
38833,154
38841,596
38853,230
38861,634
38873,306
38881,672
38893,382
38901,710
38913,458
38921,748
38933,534
38941,786
3895190
38961,824
38973,686
38981,862
38993,762
381001,900
381013,838
381021,938
381033,914
381041,976
381053,990
381062,014
381074,066
381082,052
381094,142

FAQ

What's the Least Common Multiple (LCM) of 38 and 95?

LCM of 38 and 95 is 190

How to find the LCM of 38 and 95 using prime factorization?

To find the LCM of 38 and 95, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 190.

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 38 and 95: LCM = 190, GCF = 19.