What is the Least Common Multiple of 68939 and 68949?

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 68939 and 68949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68939 and 68949, than apply into the LCM equation.

GCF(68939,68949) = 1
LCM(68939,68949) = ( 68939 × 68949) / 1
LCM(68939,68949) = 4753275111 / 1
LCM(68939,68949) = 4753275111

Least Common Multiple (LCM) of 68939 and 68949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68939 and 68949. First we will calculate the prime factors of 68939 and 68949.

Prime Factorization of 68939

Prime Factorization of 68949

Now multiplying the highest exponent prime factors to calculate the LCM of 68939 and 68949.

LCM(68939,68949) = 13¹ × 5303¹ × 3² × 47¹ × 163¹
LCM(68939,68949) = 4753275111