What is the Least Common Multiple of 273 and 280?
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 273 and 280 is 10920.
LCM(273,280) = 10920
Least Common Multiple of 273 and 280 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 273 and 280, than apply into the LCM equation.
GCF(273,280) = 7
LCM(273,280) = ( 273 × 280) / 7
LCM(273,280) = 76440 / 7
LCM(273,280) = 10920
Least Common Multiple (LCM) of 273 and 280 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 273 and 280. First we will calculate the prime factors of 273 and 280.
Prime Factorization of 273
Prime factors of 273 are 3, 7, 13. Prime factorization of 273 in exponential form is:
273 = 31 × 71 × 131
Prime Factorization of 280
Prime factors of 280 are 2, 5, 7. Prime factorization of 280 in exponential form is:
280 = 23 × 51 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 273 and 280.
LCM(273,280) = 31 × 71 × 131 × 23 × 51
LCM(273,280) = 10920
Related Least Common Multiples of 273
- LCM of 273 and 277
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- LCM of 273 and 280
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Related Least Common Multiples of 280
- LCM of 280 and 284
- LCM of 280 and 285
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- LCM of 280 and 289
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