What is the Least Common Multiple of 68921 and 68939?

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 68921 and 68939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68921 and 68939, than apply into the LCM equation.

GCF(68921,68939) = 1
LCM(68921,68939) = ( 68921 × 68939) / 1
LCM(68921,68939) = 4751344819 / 1
LCM(68921,68939) = 4751344819

Least Common Multiple (LCM) of 68921 and 68939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68921 and 68939. First we will calculate the prime factors of 68921 and 68939.

Prime Factorization of 68921

Prime Factorization of 68939

Now multiplying the highest exponent prime factors to calculate the LCM of 68921 and 68939.

LCM(68921,68939) = 41³ × 13¹ × 5303¹
LCM(68921,68939) = 4751344819