What is the Least Common Multiple of 1480 and 1490?

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 1480 and 1490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1480 and 1490, than apply into the LCM equation.

GCF(1480,1490) = 10
LCM(1480,1490) = ( 1480 × 1490) / 10
LCM(1480,1490) = 2205200 / 10
LCM(1480,1490) = 220520

Least Common Multiple (LCM) of 1480 and 1490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1480 and 1490. First we will calculate the prime factors of 1480 and 1490.

Prime Factorization of 1480

Prime Factorization of 1490

Now multiplying the highest exponent prime factors to calculate the LCM of 1480 and 1490.

LCM(1480,1490) = 2³ × 5¹ × 37¹ × 149¹
LCM(1480,1490) = 220520