What is the Least Common Multiple of 69460 and 69474?

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 69460 and 69474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69460 and 69474, than apply into the LCM equation.

GCF(69460,69474) = 2
LCM(69460,69474) = ( 69460 × 69474) / 2
LCM(69460,69474) = 4825664040 / 2
LCM(69460,69474) = 2412832020

Least Common Multiple (LCM) of 69460 and 69474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69460 and 69474. First we will calculate the prime factors of 69460 and 69474.

Prime Factorization of 69460

Prime Factorization of 69474

Now multiplying the highest exponent prime factors to calculate the LCM of 69460 and 69474.

LCM(69460,69474) = 2² × 5¹ × 23¹ × 151¹ × 3¹ × 11579¹
LCM(69460,69474) = 2412832020