What is the Least Common Multiple of 1465 and 1481?

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 1465 and 1481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1465 and 1481, than apply into the LCM equation.

GCF(1465,1481) = 1
LCM(1465,1481) = ( 1465 × 1481) / 1
LCM(1465,1481) = 2169665 / 1
LCM(1465,1481) = 2169665

Least Common Multiple (LCM) of 1465 and 1481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1465 and 1481. First we will calculate the prime factors of 1465 and 1481.

Prime Factorization of 1465

Prime Factorization of 1481

Now multiplying the highest exponent prime factors to calculate the LCM of 1465 and 1481.

LCM(1465,1481) = 5¹ × 293¹ × 1481¹
LCM(1465,1481) = 2169665