What is the Least Common Multiple of 60946 and 60959?

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 60946 and 60959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60946 and 60959, than apply into the LCM equation.

GCF(60946,60959) = 1
LCM(60946,60959) = ( 60946 × 60959) / 1
LCM(60946,60959) = 3715207214 / 1
LCM(60946,60959) = 3715207214

Least Common Multiple (LCM) of 60946 and 60959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60946 and 60959. First we will calculate the prime factors of 60946 and 60959.

Prime Factorization of 60946

Prime Factorization of 60959

Now multiplying the highest exponent prime factors to calculate the LCM of 60946 and 60959.

LCM(60946,60959) = 2¹ × 31¹ × 983¹ × 47¹ × 1297¹
LCM(60946,60959) = 3715207214