What is the Least Common Multiple of 75516 and 75530?

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 75516 and 75530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75516 and 75530, than apply into the LCM equation.

GCF(75516,75530) = 14
LCM(75516,75530) = ( 75516 × 75530) / 14
LCM(75516,75530) = 5703723480 / 14
LCM(75516,75530) = 407408820

Least Common Multiple (LCM) of 75516 and 75530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75516 and 75530. First we will calculate the prime factors of 75516 and 75530.

Prime Factorization of 75516

Prime Factorization of 75530

Now multiplying the highest exponent prime factors to calculate the LCM of 75516 and 75530.

LCM(75516,75530) = 2² × 3¹ × 7¹ × 29¹ × 31¹ × 5¹ × 13¹ × 83¹
LCM(75516,75530) = 407408820