What is the Least Common Multiple of 7920 and 7934?

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 7934 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 7934, than apply into the LCM equation.

GCF(7920,7934) = 2
LCM(7920,7934) = ( 7920 × 7934) / 2
LCM(7920,7934) = 62837280 / 2
LCM(7920,7934) = 31418640

Least Common Multiple (LCM) of 7920 and 7934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7920 and 7934. First we will calculate the prime factors of 7920 and 7934.

Prime Factorization of 7920

Prime Factorization of 7934

Now multiplying the highest exponent prime factors to calculate the LCM of 7920 and 7934.

LCM(7920,7934) = 2⁴ × 3² × 5¹ × 11¹ × 3967¹
LCM(7920,7934) = 31418640