What is the Least Common Multiple of 60520 and 60538?

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 60520 and 60538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60520 and 60538, than apply into the LCM equation.

GCF(60520,60538) = 2
LCM(60520,60538) = ( 60520 × 60538) / 2
LCM(60520,60538) = 3663759760 / 2
LCM(60520,60538) = 1831879880

Least Common Multiple (LCM) of 60520 and 60538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60520 and 60538. First we will calculate the prime factors of 60520 and 60538.

Prime Factorization of 60520

Prime Factorization of 60538

Now multiplying the highest exponent prime factors to calculate the LCM of 60520 and 60538.

LCM(60520,60538) = 2³ × 5¹ × 17¹ × 89¹ × 30269¹
LCM(60520,60538) = 1831879880