What is the Least Common Multiple of 30546 and 30550?

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 30546 and 30550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30546 and 30550, than apply into the LCM equation.

GCF(30546,30550) = 2
LCM(30546,30550) = ( 30546 × 30550) / 2
LCM(30546,30550) = 933180300 / 2
LCM(30546,30550) = 466590150

Least Common Multiple (LCM) of 30546 and 30550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30546 and 30550. First we will calculate the prime factors of 30546 and 30550.

Prime Factorization of 30546

Prime Factorization of 30550

Now multiplying the highest exponent prime factors to calculate the LCM of 30546 and 30550.

LCM(30546,30550) = 2¹ × 3² × 1697¹ × 5² × 13¹ × 47¹
LCM(30546,30550) = 466590150