What is the Least Common Multiple of 262 and 278?
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 278 is 36418.
LCM(262,278) = 36418
Least Common Multiple of 262 and 278 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 278, than apply into the LCM equation.
GCF(262,278) = 2
LCM(262,278) = ( 262 × 278) / 2
LCM(262,278) = 72836 / 2
LCM(262,278) = 36418
Least Common Multiple (LCM) of 262 and 278 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 262 and 278. First we will calculate the prime factors of 262 and 278.
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 278
Prime factors of 278 are 2, 139. Prime factorization of 278 in exponential form is:
278 = 21 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 262 and 278.
LCM(262,278) = 21 × 1311 × 1391
LCM(262,278) = 36418
Related Least Common Multiples of 262
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Related Least Common Multiples of 278
- LCM of 278 and 282
- LCM of 278 and 283
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