What is the Least Common Multiple of 68435 and 68454?

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 68435 and 68454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68435 and 68454, than apply into the LCM equation.

GCF(68435,68454) = 1
LCM(68435,68454) = ( 68435 × 68454) / 1
LCM(68435,68454) = 4684649490 / 1
LCM(68435,68454) = 4684649490

Least Common Multiple (LCM) of 68435 and 68454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68435 and 68454. First we will calculate the prime factors of 68435 and 68454.

Prime Factorization of 68435

Prime Factorization of 68454

Now multiplying the highest exponent prime factors to calculate the LCM of 68435 and 68454.

LCM(68435,68454) = 5¹ × 13687¹ × 2¹ × 3² × 3803¹
LCM(68435,68454) = 4684649490