What is the Least Common Multiple of 62255 and 62260?
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 62255 and 62260 is 775199260.
LCM(62255,62260) = 775199260
Least Common Multiple of 62255 and 62260 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62255 and 62260, than apply into the LCM equation.
GCF(62255,62260) = 5
LCM(62255,62260) = ( 62255 × 62260) / 5
LCM(62255,62260) = 3875996300 / 5
LCM(62255,62260) = 775199260
Least Common Multiple (LCM) of 62255 and 62260 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62255 and 62260. First we will calculate the prime factors of 62255 and 62260.
Prime Factorization of 62255
Prime factors of 62255 are 5, 12451. Prime factorization of 62255 in exponential form is:
62255 = 51 × 124511
Prime Factorization of 62260
Prime factors of 62260 are 2, 5, 11, 283. Prime factorization of 62260 in exponential form is:
62260 = 22 × 51 × 111 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 62255 and 62260.
LCM(62255,62260) = 51 × 124511 × 22 × 111 × 2831
LCM(62255,62260) = 775199260
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