What is the Least Common Multiple of 61918 and 61934?

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 61918 and 61934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61918 and 61934, than apply into the LCM equation.

GCF(61918,61934) = 2
LCM(61918,61934) = ( 61918 × 61934) / 2
LCM(61918,61934) = 3834829412 / 2
LCM(61918,61934) = 1917414706

Least Common Multiple (LCM) of 61918 and 61934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61918 and 61934. First we will calculate the prime factors of 61918 and 61934.

Prime Factorization of 61918

Prime Factorization of 61934

Now multiplying the highest exponent prime factors to calculate the LCM of 61918 and 61934.

LCM(61918,61934) = 2¹ × 83¹ × 373¹ × 173¹ × 179¹
LCM(61918,61934) = 1917414706