What is the Least Common Multiple of 62267 and 62286?
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 62267 and 62286 is 3878362362.
LCM(62267,62286) = 3878362362
Least Common Multiple of 62267 and 62286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62267 and 62286, than apply into the LCM equation.
GCF(62267,62286) = 1
LCM(62267,62286) = ( 62267 × 62286) / 1
LCM(62267,62286) = 3878362362 / 1
LCM(62267,62286) = 3878362362
Least Common Multiple (LCM) of 62267 and 62286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62267 and 62286. First we will calculate the prime factors of 62267 and 62286.
Prime Factorization of 62267
Prime factors of 62267 are 71, 877. Prime factorization of 62267 in exponential form is:
62267 = 711 × 8771
Prime Factorization of 62286
Prime factors of 62286 are 2, 3, 7, 1483. Prime factorization of 62286 in exponential form is:
62286 = 21 × 31 × 71 × 14831
Now multiplying the highest exponent prime factors to calculate the LCM of 62267 and 62286.
LCM(62267,62286) = 711 × 8771 × 21 × 31 × 71 × 14831
LCM(62267,62286) = 3878362362
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