What is the Least Common Multiple of 69540 and 69546?

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 69540 and 69546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69540 and 69546, than apply into the LCM equation.

GCF(69540,69546) = 6
LCM(69540,69546) = ( 69540 × 69546) / 6
LCM(69540,69546) = 4836228840 / 6
LCM(69540,69546) = 806038140

Least Common Multiple (LCM) of 69540 and 69546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69540 and 69546. First we will calculate the prime factors of 69540 and 69546.

Prime Factorization of 69540

Prime Factorization of 69546

Now multiplying the highest exponent prime factors to calculate the LCM of 69540 and 69546.

LCM(69540,69546) = 2² × 3¹ × 5¹ × 19¹ × 61¹ × 67¹ × 173¹
LCM(69540,69546) = 806038140