What is the Least Common Multiple of 1475 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 1475 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 1475 and 1490, than apply into the LCM equation.

GCF(1475,1490) = 5
LCM(1475,1490) = ( 1475 × 1490) / 5
LCM(1475,1490) = 2197750 / 5
LCM(1475,1490) = 439550

Least Common Multiple (LCM) of 1475 and 1490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1475 and 1490. First we will calculate the prime factors of 1475 and 1490.

Prime Factorization of 1475

Prime Factorization of 1490

Now multiplying the highest exponent prime factors to calculate the LCM of 1475 and 1490.

LCM(1475,1490) = 5² × 59¹ × 2¹ × 149¹
LCM(1475,1490) = 439550