What is the Least Common Multiple of 75530 and 75538?

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 75530 and 75538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75530 and 75538, than apply into the LCM equation.

GCF(75530,75538) = 2
LCM(75530,75538) = ( 75530 × 75538) / 2
LCM(75530,75538) = 5705385140 / 2
LCM(75530,75538) = 2852692570

Least Common Multiple (LCM) of 75530 and 75538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75530 and 75538. First we will calculate the prime factors of 75530 and 75538.

Prime Factorization of 75530

Prime Factorization of 75538

Now multiplying the highest exponent prime factors to calculate the LCM of 75530 and 75538.

LCM(75530,75538) = 2¹ × 5¹ × 7¹ × 13¹ × 83¹ × 179¹ × 211¹
LCM(75530,75538) = 2852692570