What is the Least Common Multiple of 62906 and 62914?

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 62906 and 62914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62906 and 62914, than apply into the LCM equation.

GCF(62906,62914) = 2
LCM(62906,62914) = ( 62906 × 62914) / 2
LCM(62906,62914) = 3957668084 / 2
LCM(62906,62914) = 1978834042

Least Common Multiple (LCM) of 62906 and 62914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62906 and 62914. First we will calculate the prime factors of 62906 and 62914.

Prime Factorization of 62906

Prime Factorization of 62914

Now multiplying the highest exponent prime factors to calculate the LCM of 62906 and 62914.

LCM(62906,62914) = 2¹ × 71¹ × 443¹ × 83¹ × 379¹
LCM(62906,62914) = 1978834042