What is the Least Common Multiple of 56906 and 56914?

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 56906 and 56914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56906 and 56914, than apply into the LCM equation.

GCF(56906,56914) = 2
LCM(56906,56914) = ( 56906 × 56914) / 2
LCM(56906,56914) = 3238748084 / 2
LCM(56906,56914) = 1619374042

Least Common Multiple (LCM) of 56906 and 56914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56906 and 56914. First we will calculate the prime factors of 56906 and 56914.

Prime Factorization of 56906

Prime Factorization of 56914

Now multiplying the highest exponent prime factors to calculate the LCM of 56906 and 56914.

LCM(56906,56914) = 2¹ × 37¹ × 769¹ × 11¹ × 13¹ × 199¹
LCM(56906,56914) = 1619374042