What is the Least Common Multiple of 61403 and 61422?
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 61403 and 61422 is 3771495066.
LCM(61403,61422) = 3771495066
Least Common Multiple of 61403 and 61422 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61403 and 61422, than apply into the LCM equation.
GCF(61403,61422) = 1
LCM(61403,61422) = ( 61403 × 61422) / 1
LCM(61403,61422) = 3771495066 / 1
LCM(61403,61422) = 3771495066
Least Common Multiple (LCM) of 61403 and 61422 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61403 and 61422. First we will calculate the prime factors of 61403 and 61422.
Prime Factorization of 61403
Prime factors of 61403 are 61403. Prime factorization of 61403 in exponential form is:
61403 = 614031
Prime Factorization of 61422
Prime factors of 61422 are 2, 3, 29, 353. Prime factorization of 61422 in exponential form is:
61422 = 21 × 31 × 291 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 61403 and 61422.
LCM(61403,61422) = 614031 × 21 × 31 × 291 × 3531
LCM(61403,61422) = 3771495066
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