What is the Least Common Multiple of 61330 and 61336?
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 61330 and 61336 is 1880868440.
LCM(61330,61336) = 1880868440
Least Common Multiple of 61330 and 61336 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61330 and 61336, than apply into the LCM equation.
GCF(61330,61336) = 2
LCM(61330,61336) = ( 61330 × 61336) / 2
LCM(61330,61336) = 3761736880 / 2
LCM(61330,61336) = 1880868440
Least Common Multiple (LCM) of 61330 and 61336 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61330 and 61336. First we will calculate the prime factors of 61330 and 61336.
Prime Factorization of 61330
Prime factors of 61330 are 2, 5, 6133. Prime factorization of 61330 in exponential form is:
61330 = 21 × 51 × 61331
Prime Factorization of 61336
Prime factors of 61336 are 2, 11, 17, 41. Prime factorization of 61336 in exponential form is:
61336 = 23 × 111 × 171 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 61330 and 61336.
LCM(61330,61336) = 23 × 51 × 61331 × 111 × 171 × 411
LCM(61330,61336) = 1880868440
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