What is the Least Common Multiple of 1465 and 1480?

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 1480 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 1480, than apply into the LCM equation.

GCF(1465,1480) = 5
LCM(1465,1480) = ( 1465 × 1480) / 5
LCM(1465,1480) = 2168200 / 5
LCM(1465,1480) = 433640

Least Common Multiple (LCM) of 1465 and 1480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1465 and 1480. First we will calculate the prime factors of 1465 and 1480.

Prime Factorization of 1465

Prime Factorization of 1480

Now multiplying the highest exponent prime factors to calculate the LCM of 1465 and 1480.

LCM(1465,1480) = 5¹ × 293¹ × 2³ × 37¹
LCM(1465,1480) = 433640