What is the Least Common Multiple of 35292 and 35309?

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 35292 and 35309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35292 and 35309, than apply into the LCM equation.

GCF(35292,35309) = 17
LCM(35292,35309) = ( 35292 × 35309) / 17
LCM(35292,35309) = 1246125228 / 17
LCM(35292,35309) = 73301484

Least Common Multiple (LCM) of 35292 and 35309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35292 and 35309. First we will calculate the prime factors of 35292 and 35309.

Prime Factorization of 35292

Prime Factorization of 35309

Now multiplying the highest exponent prime factors to calculate the LCM of 35292 and 35309.

LCM(35292,35309) = 2² × 3¹ × 17¹ × 173¹ × 31¹ × 67¹
LCM(35292,35309) = 73301484