What is the Least Common Multiple of 71468 and 71485?

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 71468 and 71485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71468 and 71485, than apply into the LCM equation.

GCF(71468,71485) = 17
LCM(71468,71485) = ( 71468 × 71485) / 17
LCM(71468,71485) = 5108889980 / 17
LCM(71468,71485) = 300522940

Least Common Multiple (LCM) of 71468 and 71485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71468 and 71485. First we will calculate the prime factors of 71468 and 71485.

Prime Factorization of 71468

Prime Factorization of 71485

Now multiplying the highest exponent prime factors to calculate the LCM of 71468 and 71485.

LCM(71468,71485) = 2² × 17¹ × 1051¹ × 5¹ × 29²
LCM(71468,71485) = 300522940