What is the Least Common Multiple of 61832 and 61851?
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 61832 and 61851 is 3824371032.
LCM(61832,61851) = 3824371032
Least Common Multiple of 61832 and 61851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61832 and 61851, than apply into the LCM equation.
GCF(61832,61851) = 1
LCM(61832,61851) = ( 61832 × 61851) / 1
LCM(61832,61851) = 3824371032 / 1
LCM(61832,61851) = 3824371032
Least Common Multiple (LCM) of 61832 and 61851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61832 and 61851. First we will calculate the prime factors of 61832 and 61851.
Prime Factorization of 61832
Prime factors of 61832 are 2, 59, 131. Prime factorization of 61832 in exponential form is:
61832 = 23 × 591 × 1311
Prime Factorization of 61851
Prime factors of 61851 are 3, 53, 389. Prime factorization of 61851 in exponential form is:
61851 = 31 × 531 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 61832 and 61851.
LCM(61832,61851) = 23 × 591 × 1311 × 31 × 531 × 3891
LCM(61832,61851) = 3824371032
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