What is the Least Common Multiple of 69548 and 69554?

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 69548 and 69554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69548 and 69554, than apply into the LCM equation.

GCF(69548,69554) = 2
LCM(69548,69554) = ( 69548 × 69554) / 2
LCM(69548,69554) = 4837341592 / 2
LCM(69548,69554) = 2418670796

Least Common Multiple (LCM) of 69548 and 69554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69548 and 69554. First we will calculate the prime factors of 69548 and 69554.

Prime Factorization of 69548

Prime Factorization of 69554

Now multiplying the highest exponent prime factors to calculate the LCM of 69548 and 69554.

LCM(69548,69554) = 2² × 17387¹ × 83¹ × 419¹
LCM(69548,69554) = 2418670796