What is the Least Common Multiple of 34494 and 34507?

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 34494 and 34507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34494 and 34507, than apply into the LCM equation.

GCF(34494,34507) = 1
LCM(34494,34507) = ( 34494 × 34507) / 1
LCM(34494,34507) = 1190284458 / 1
LCM(34494,34507) = 1190284458

Least Common Multiple (LCM) of 34494 and 34507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34494 and 34507. First we will calculate the prime factors of 34494 and 34507.

Prime Factorization of 34494

Prime Factorization of 34507

Now multiplying the highest exponent prime factors to calculate the LCM of 34494 and 34507.

LCM(34494,34507) = 2¹ × 3¹ × 5749¹ × 11¹ × 3137¹
LCM(34494,34507) = 1190284458