What is the Least Common Multiple of 61896 and 61914?

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 61896 and 61914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61896 and 61914, than apply into the LCM equation.

GCF(61896,61914) = 6
LCM(61896,61914) = ( 61896 × 61914) / 6
LCM(61896,61914) = 3832228944 / 6
LCM(61896,61914) = 638704824

Least Common Multiple (LCM) of 61896 and 61914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61896 and 61914. First we will calculate the prime factors of 61896 and 61914.

Prime Factorization of 61896

Prime Factorization of 61914

Now multiplying the highest exponent prime factors to calculate the LCM of 61896 and 61914.

LCM(61896,61914) = 2³ × 3¹ × 2579¹ × 17¹ × 607¹
LCM(61896,61914) = 638704824