What is the Least Common Multiple of 53490 and 53499?

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 53490 and 53499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53490 and 53499, than apply into the LCM equation.

GCF(53490,53499) = 3
LCM(53490,53499) = ( 53490 × 53499) / 3
LCM(53490,53499) = 2861661510 / 3
LCM(53490,53499) = 953887170

Least Common Multiple (LCM) of 53490 and 53499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53490 and 53499. First we will calculate the prime factors of 53490 and 53499.

Prime Factorization of 53490

Prime Factorization of 53499

Now multiplying the highest exponent prime factors to calculate the LCM of 53490 and 53499.

LCM(53490,53499) = 2¹ × 3¹ × 5¹ × 1783¹ × 17¹ × 1049¹
LCM(53490,53499) = 953887170