What is the Least Common Multiple of 262 and 281?
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 281 is 73622.
LCM(262,281) = 73622
Least Common Multiple of 262 and 281 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 281, than apply into the LCM equation.
GCF(262,281) = 1
LCM(262,281) = ( 262 × 281) / 1
LCM(262,281) = 73622 / 1
LCM(262,281) = 73622
Least Common Multiple (LCM) of 262 and 281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 281. First we will calculate the prime factors of 262 and 281.
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 281
Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:
281 = 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 262 and 281.
LCM(262,281) = 21 × 1311 × 2811
LCM(262,281) = 73622
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Related Least Common Multiples of 281
- LCM of 281 and 285
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