What is the Least Common Multiple of 7530 and 7535?

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 7530 and 7535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7530 and 7535, than apply into the LCM equation.

GCF(7530,7535) = 5
LCM(7530,7535) = ( 7530 × 7535) / 5
LCM(7530,7535) = 56738550 / 5
LCM(7530,7535) = 11347710

Least Common Multiple (LCM) of 7530 and 7535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7530 and 7535. First we will calculate the prime factors of 7530 and 7535.

Prime Factorization of 7530

Prime Factorization of 7535

Now multiplying the highest exponent prime factors to calculate the LCM of 7530 and 7535.

LCM(7530,7535) = 2¹ × 3¹ × 5¹ × 251¹ × 11¹ × 137¹
LCM(7530,7535) = 11347710