What is the Least Common Multiple of 68901 and 68921?

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 68901 and 68921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68901 and 68921, than apply into the LCM equation.

GCF(68901,68921) = 1
LCM(68901,68921) = ( 68901 × 68921) / 1
LCM(68901,68921) = 4748725821 / 1
LCM(68901,68921) = 4748725821

Least Common Multiple (LCM) of 68901 and 68921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68901 and 68921. First we will calculate the prime factors of 68901 and 68921.

Prime Factorization of 68901

Prime Factorization of 68921

Now multiplying the highest exponent prime factors to calculate the LCM of 68901 and 68921.

LCM(68901,68921) = 3¹ × 7¹ × 17¹ × 193¹ × 41³
LCM(68901,68921) = 4748725821