What is the Least Common Multiple of 79101 and 79121?

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 79101 and 79121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79101 and 79121, than apply into the LCM equation.

GCF(79101,79121) = 1
LCM(79101,79121) = ( 79101 × 79121) / 1
LCM(79101,79121) = 6258550221 / 1
LCM(79101,79121) = 6258550221

Least Common Multiple (LCM) of 79101 and 79121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79101 and 79121. First we will calculate the prime factors of 79101 and 79121.

Prime Factorization of 79101

Prime Factorization of 79121

Now multiplying the highest exponent prime factors to calculate the LCM of 79101 and 79121.

LCM(79101,79121) = 3² × 11¹ × 17¹ × 47¹ × 7¹ × 89¹ × 127¹
LCM(79101,79121) = 6258550221