What is the Least Common Multiple of 3430 and 3450?

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 3430 and 3450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3430 and 3450, than apply into the LCM equation.

GCF(3430,3450) = 10
LCM(3430,3450) = ( 3430 × 3450) / 10
LCM(3430,3450) = 11833500 / 10
LCM(3430,3450) = 1183350

Least Common Multiple (LCM) of 3430 and 3450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3430 and 3450. First we will calculate the prime factors of 3430 and 3450.

Prime Factorization of 3430

Prime Factorization of 3450

Now multiplying the highest exponent prime factors to calculate the LCM of 3430 and 3450.

LCM(3430,3450) = 2¹ × 5² × 7³ × 3¹ × 23¹
LCM(3430,3450) = 1183350