What is the Least Common Multiple of 61884 and 61896?

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 of 61884 and 61896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61884 and 61896, than apply into the LCM equation.

GCF(61884,61896) = 12
LCM(61884,61896) = ( 61884 × 61896) / 12
LCM(61884,61896) = 3830372064 / 12
LCM(61884,61896) = 319197672

Least Common Multiple (LCM) of 61884 and 61896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61884 and 61896. First we will calculate the prime factors of 61884 and 61896.

Prime Factorization of 61884

Prime Factorization of 61896

Now multiplying the highest exponent prime factors to calculate the LCM of 61884 and 61896.

LCM(61884,61896) = 2³ × 3⁴ × 191¹ × 2579¹
LCM(61884,61896) = 319197672