What is the Least Common Multiple of 262 and 271?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 262 and 271 is 71002.
LCM(262,271) = 71002
Least Common Multiple of 262 and 271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 262 and 271, than apply into the LCM equation.
GCF(262,271) = 1
LCM(262,271) = ( 262 × 271) / 1
LCM(262,271) = 71002 / 1
LCM(262,271) = 71002
Least Common Multiple (LCM) of 262 and 271 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 271. First we will calculate the prime factors of 262 and 271.
Prime Factorization of 262
Prime factors of 262 are 2, 131. Prime factorization of 262 in exponential form is:
262 = 21 × 1311
Prime Factorization of 271
Prime factors of 271 are 271. Prime factorization of 271 in exponential form is:
271 = 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 262 and 271.
LCM(262,271) = 21 × 1311 × 2711
LCM(262,271) = 71002
Related Least Common Multiples of 262
- LCM of 262 and 266
- LCM of 262 and 267
- LCM of 262 and 268
- LCM of 262 and 269
- LCM of 262 and 270
- LCM of 262 and 271
- LCM of 262 and 272
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- LCM of 262 and 276
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Related Least Common Multiples of 271
- LCM of 271 and 275
- LCM of 271 and 276
- LCM of 271 and 277
- LCM of 271 and 278
- LCM of 271 and 279
- LCM of 271 and 280
- LCM of 271 and 281
- LCM of 271 and 282
- LCM of 271 and 283
- LCM of 271 and 284
- LCM of 271 and 285
- LCM of 271 and 286
- LCM of 271 and 287
- LCM of 271 and 288
- LCM of 271 and 289
- LCM of 271 and 290
- LCM of 271 and 291