What is the Least Common Multiple of 52520 and 52538?

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 52520 and 52538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52520 and 52538, than apply into the LCM equation.

GCF(52520,52538) = 2
LCM(52520,52538) = ( 52520 × 52538) / 2
LCM(52520,52538) = 2759295760 / 2
LCM(52520,52538) = 1379647880

Least Common Multiple (LCM) of 52520 and 52538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52520 and 52538. First we will calculate the prime factors of 52520 and 52538.

Prime Factorization of 52520

Prime Factorization of 52538

Now multiplying the highest exponent prime factors to calculate the LCM of 52520 and 52538.

LCM(52520,52538) = 2³ × 5¹ × 13¹ × 101¹ × 109¹ × 241¹
LCM(52520,52538) = 1379647880