What is the Least Common Multiple of 62273 and 62280?
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 62273 and 62280 is 3878362440.
LCM(62273,62280) = 3878362440
Least Common Multiple of 62273 and 62280 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62273 and 62280, than apply into the LCM equation.
GCF(62273,62280) = 1
LCM(62273,62280) = ( 62273 × 62280) / 1
LCM(62273,62280) = 3878362440 / 1
LCM(62273,62280) = 3878362440
Least Common Multiple (LCM) of 62273 and 62280 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62273 and 62280. First we will calculate the prime factors of 62273 and 62280.
Prime Factorization of 62273
Prime factors of 62273 are 62273. Prime factorization of 62273 in exponential form is:
62273 = 622731
Prime Factorization of 62280
Prime factors of 62280 are 2, 3, 5, 173. Prime factorization of 62280 in exponential form is:
62280 = 23 × 32 × 51 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 62273 and 62280.
LCM(62273,62280) = 622731 × 23 × 32 × 51 × 1731
LCM(62273,62280) = 3878362440
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