What is the Least Common Multiple of 7530 and 7546?

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 7546 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 7546, than apply into the LCM equation.

GCF(7530,7546) = 2
LCM(7530,7546) = ( 7530 × 7546) / 2
LCM(7530,7546) = 56821380 / 2
LCM(7530,7546) = 28410690

Least Common Multiple (LCM) of 7530 and 7546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7530 and 7546. First we will calculate the prime factors of 7530 and 7546.

Prime Factorization of 7530

Prime Factorization of 7546

Now multiplying the highest exponent prime factors to calculate the LCM of 7530 and 7546.

LCM(7530,7546) = 2¹ × 3¹ × 5¹ × 251¹ × 7³ × 11¹
LCM(7530,7546) = 28410690