What is the Least Common Multiple of 7920 and 7932?

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 7920 and 7932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7920 and 7932, than apply into the LCM equation.

GCF(7920,7932) = 12
LCM(7920,7932) = ( 7920 × 7932) / 12
LCM(7920,7932) = 62821440 / 12
LCM(7920,7932) = 5235120

Least Common Multiple (LCM) of 7920 and 7932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7920 and 7932. First we will calculate the prime factors of 7920 and 7932.

Prime Factorization of 7920

Prime Factorization of 7932

Now multiplying the highest exponent prime factors to calculate the LCM of 7920 and 7932.

LCM(7920,7932) = 2⁴ × 3² × 5¹ × 11¹ × 661¹
LCM(7920,7932) = 5235120