What is the Least Common Multiple of 71445 and 71454?

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 71445 and 71454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71445 and 71454, than apply into the LCM equation.

GCF(71445,71454) = 3
LCM(71445,71454) = ( 71445 × 71454) / 3
LCM(71445,71454) = 5105031030 / 3
LCM(71445,71454) = 1701677010

Least Common Multiple (LCM) of 71445 and 71454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71445 and 71454. First we will calculate the prime factors of 71445 and 71454.

Prime Factorization of 71445

Prime Factorization of 71454

Now multiplying the highest exponent prime factors to calculate the LCM of 71445 and 71454.

LCM(71445,71454) = 3¹ × 5¹ × 11¹ × 433¹ × 2¹ × 11909¹
LCM(71445,71454) = 1701677010