What is the Least Common Multiple of 33542 and 33546?

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 33542 and 33546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33542 and 33546, than apply into the LCM equation.

GCF(33542,33546) = 2
LCM(33542,33546) = ( 33542 × 33546) / 2
LCM(33542,33546) = 1125199932 / 2
LCM(33542,33546) = 562599966

Least Common Multiple (LCM) of 33542 and 33546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33542 and 33546. First we will calculate the prime factors of 33542 and 33546.

Prime Factorization of 33542

Prime Factorization of 33546

Now multiplying the highest exponent prime factors to calculate the LCM of 33542 and 33546.

LCM(33542,33546) = 2¹ × 31¹ × 541¹ × 3¹ × 5591¹
LCM(33542,33546) = 562599966