What is the Least Common Multiple of 1490 and 1499?

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 1490 and 1499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1490 and 1499, than apply into the LCM equation.

GCF(1490,1499) = 1
LCM(1490,1499) = ( 1490 × 1499) / 1
LCM(1490,1499) = 2233510 / 1
LCM(1490,1499) = 2233510

Least Common Multiple (LCM) of 1490 and 1499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1490 and 1499. First we will calculate the prime factors of 1490 and 1499.

Prime Factorization of 1490

Prime Factorization of 1499

Now multiplying the highest exponent prime factors to calculate the LCM of 1490 and 1499.

LCM(1490,1499) = 2¹ × 5¹ × 149¹ × 1499¹
LCM(1490,1499) = 2233510