What is the Least Common Multiple of 51006 and 51026?

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 51006 and 51026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51006 and 51026, than apply into the LCM equation.

GCF(51006,51026) = 2
LCM(51006,51026) = ( 51006 × 51026) / 2
LCM(51006,51026) = 2602632156 / 2
LCM(51006,51026) = 1301316078

Least Common Multiple (LCM) of 51006 and 51026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51006 and 51026. First we will calculate the prime factors of 51006 and 51026.

Prime Factorization of 51006

Prime Factorization of 51026

Now multiplying the highest exponent prime factors to calculate the LCM of 51006 and 51026.

LCM(51006,51026) = 2¹ × 3¹ × 8501¹ × 31¹ × 823¹
LCM(51006,51026) = 1301316078