What is the Least Common Multiple of 33478 and 33492?

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 33478 and 33492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33478 and 33492, than apply into the LCM equation.

GCF(33478,33492) = 2
LCM(33478,33492) = ( 33478 × 33492) / 2
LCM(33478,33492) = 1121245176 / 2
LCM(33478,33492) = 560622588

Least Common Multiple (LCM) of 33478 and 33492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33478 and 33492. First we will calculate the prime factors of 33478 and 33492.

Prime Factorization of 33478

Prime Factorization of 33492

Now multiplying the highest exponent prime factors to calculate the LCM of 33478 and 33492.

LCM(33478,33492) = 2² × 19¹ × 881¹ × 3¹ × 2791¹
LCM(33478,33492) = 560622588