What is the Least Common Multiple of 35430 and 35448?

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 35430 and 35448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35430 and 35448, than apply into the LCM equation.

GCF(35430,35448) = 6
LCM(35430,35448) = ( 35430 × 35448) / 6
LCM(35430,35448) = 1255922640 / 6
LCM(35430,35448) = 209320440

Least Common Multiple (LCM) of 35430 and 35448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35430 and 35448. First we will calculate the prime factors of 35430 and 35448.

Prime Factorization of 35430

Prime Factorization of 35448

Now multiplying the highest exponent prime factors to calculate the LCM of 35430 and 35448.

LCM(35430,35448) = 2³ × 3¹ × 5¹ × 1181¹ × 7¹ × 211¹
LCM(35430,35448) = 209320440