What is the Least Common Multiple of 34492 and 34509?

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 34492 and 34509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34492 and 34509, than apply into the LCM equation.

GCF(34492,34509) = 1
LCM(34492,34509) = ( 34492 × 34509) / 1
LCM(34492,34509) = 1190284428 / 1
LCM(34492,34509) = 1190284428

Least Common Multiple (LCM) of 34492 and 34509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34492 and 34509. First we will calculate the prime factors of 34492 and 34509.

Prime Factorization of 34492

Prime Factorization of 34509

Now multiplying the highest exponent prime factors to calculate the LCM of 34492 and 34509.

LCM(34492,34509) = 2² × 8623¹ × 3¹ × 11503¹
LCM(34492,34509) = 1190284428