What is the Least Common Multiple of 49595 and 49611?
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 49595 and 49611 is 2460457545.
LCM(49595,49611) = 2460457545
Least Common Multiple of 49595 and 49611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49595 and 49611, than apply into the LCM equation.
GCF(49595,49611) = 1
LCM(49595,49611) = ( 49595 × 49611) / 1
LCM(49595,49611) = 2460457545 / 1
LCM(49595,49611) = 2460457545
Least Common Multiple (LCM) of 49595 and 49611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49595 and 49611. First we will calculate the prime factors of 49595 and 49611.
Prime Factorization of 49595
Prime factors of 49595 are 5, 7, 13, 109. Prime factorization of 49595 in exponential form is:
49595 = 51 × 71 × 131 × 1091
Prime Factorization of 49611
Prime factors of 49611 are 3, 23, 719. Prime factorization of 49611 in exponential form is:
49611 = 31 × 231 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 49595 and 49611.
LCM(49595,49611) = 51 × 71 × 131 × 1091 × 31 × 231 × 7191
LCM(49595,49611) = 2460457545
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