What is the Least Common Multiple of 34230 and 34240?

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 34230 and 34240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34230 and 34240, than apply into the LCM equation.

GCF(34230,34240) = 10
LCM(34230,34240) = ( 34230 × 34240) / 10
LCM(34230,34240) = 1172035200 / 10
LCM(34230,34240) = 117203520

Least Common Multiple (LCM) of 34230 and 34240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34230 and 34240. First we will calculate the prime factors of 34230 and 34240.

Prime Factorization of 34230

Prime Factorization of 34240

Now multiplying the highest exponent prime factors to calculate the LCM of 34230 and 34240.

LCM(34230,34240) = 2⁶ × 3¹ × 5¹ × 7¹ × 163¹ × 107¹
LCM(34230,34240) = 117203520