What is the Least Common Multiple of 33494 and 33499?

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 33494 and 33499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33494 and 33499, than apply into the LCM equation.

GCF(33494,33499) = 1
LCM(33494,33499) = ( 33494 × 33499) / 1
LCM(33494,33499) = 1122015506 / 1
LCM(33494,33499) = 1122015506

Least Common Multiple (LCM) of 33494 and 33499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33494 and 33499. First we will calculate the prime factors of 33494 and 33499.

Prime Factorization of 33494

Prime Factorization of 33499

Now multiplying the highest exponent prime factors to calculate the LCM of 33494 and 33499.

LCM(33494,33499) = 2¹ × 16747¹ × 139¹ × 241¹
LCM(33494,33499) = 1122015506