What is the Least Common Multiple of 52519 and 52535?

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 52519 and 52535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52519 and 52535, than apply into the LCM equation.

GCF(52519,52535) = 1
LCM(52519,52535) = ( 52519 × 52535) / 1
LCM(52519,52535) = 2759085665 / 1
LCM(52519,52535) = 2759085665

Least Common Multiple (LCM) of 52519 and 52535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52519 and 52535. First we will calculate the prime factors of 52519 and 52535.

Prime Factorization of 52519

Prime Factorization of 52535

Now multiplying the highest exponent prime factors to calculate the LCM of 52519 and 52535.

LCM(52519,52535) = 29¹ × 1811¹ × 5¹ × 7¹ × 19¹ × 79¹
LCM(52519,52535) = 2759085665