What is the Least Common Multiple of 35490 and 35499?

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 35490 and 35499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35490 and 35499, than apply into the LCM equation.

GCF(35490,35499) = 3
LCM(35490,35499) = ( 35490 × 35499) / 3
LCM(35490,35499) = 1259859510 / 3
LCM(35490,35499) = 419953170

Least Common Multiple (LCM) of 35490 and 35499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35490 and 35499. First we will calculate the prime factors of 35490 and 35499.

Prime Factorization of 35490

Prime Factorization of 35499

Now multiplying the highest exponent prime factors to calculate the LCM of 35490 and 35499.

LCM(35490,35499) = 2¹ × 3¹ × 5¹ × 7¹ × 13² × 11833¹
LCM(35490,35499) = 419953170