What is the Least Common Multiple of 60896 and 60914?

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 60896 and 60914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60896 and 60914, than apply into the LCM equation.

GCF(60896,60914) = 2
LCM(60896,60914) = ( 60896 × 60914) / 2
LCM(60896,60914) = 3709418944 / 2
LCM(60896,60914) = 1854709472

Least Common Multiple (LCM) of 60896 and 60914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60896 and 60914. First we will calculate the prime factors of 60896 and 60914.

Prime Factorization of 60896

Prime Factorization of 60914

Now multiplying the highest exponent prime factors to calculate the LCM of 60896 and 60914.

LCM(60896,60914) = 2⁵ × 11¹ × 173¹ × 7¹ × 19¹ × 229¹
LCM(60896,60914) = 1854709472