What is the Least Common Multiple of 42549 and 42561?

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 42549 and 42561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42549 and 42561, than apply into the LCM equation.

GCF(42549,42561) = 3
LCM(42549,42561) = ( 42549 × 42561) / 3
LCM(42549,42561) = 1810927989 / 3
LCM(42549,42561) = 603642663

Least Common Multiple (LCM) of 42549 and 42561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42549 and 42561. First we will calculate the prime factors of 42549 and 42561.

Prime Factorization of 42549

Prime Factorization of 42561

Now multiplying the highest exponent prime factors to calculate the LCM of 42549 and 42561.

LCM(42549,42561) = 3² × 13¹ × 1091¹ × 4729¹
LCM(42549,42561) = 603642663