What is the Least Common Multiple of 1450 and 1465?

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 1450 and 1465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1450 and 1465, than apply into the LCM equation.

GCF(1450,1465) = 5
LCM(1450,1465) = ( 1450 × 1465) / 5
LCM(1450,1465) = 2124250 / 5
LCM(1450,1465) = 424850

Least Common Multiple (LCM) of 1450 and 1465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1450 and 1465. First we will calculate the prime factors of 1450 and 1465.

Prime Factorization of 1450

Prime Factorization of 1465

Now multiplying the highest exponent prime factors to calculate the LCM of 1450 and 1465.

LCM(1450,1465) = 2¹ × 5² × 29¹ × 293¹
LCM(1450,1465) = 424850