What is the Least Common Multiple of 61351 and 61371?
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 61351 and 61371 is 3765172221.
LCM(61351,61371) = 3765172221
Least Common Multiple of 61351 and 61371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61351 and 61371, than apply into the LCM equation.
GCF(61351,61371) = 1
LCM(61351,61371) = ( 61351 × 61371) / 1
LCM(61351,61371) = 3765172221 / 1
LCM(61351,61371) = 3765172221
Least Common Multiple (LCM) of 61351 and 61371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61351 and 61371. First we will calculate the prime factors of 61351 and 61371.
Prime Factorization of 61351
Prime factors of 61351 are 19, 3229. Prime factorization of 61351 in exponential form is:
61351 = 191 × 32291
Prime Factorization of 61371
Prime factors of 61371 are 3, 2273. Prime factorization of 61371 in exponential form is:
61371 = 33 × 22731
Now multiplying the highest exponent prime factors to calculate the LCM of 61351 and 61371.
LCM(61351,61371) = 191 × 32291 × 33 × 22731
LCM(61351,61371) = 3765172221
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