What is the Least Common Multiple of 67920 and 67932?

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 67920 and 67932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67920 and 67932, than apply into the LCM equation.

GCF(67920,67932) = 12
LCM(67920,67932) = ( 67920 × 67932) / 12
LCM(67920,67932) = 4613941440 / 12
LCM(67920,67932) = 384495120

Least Common Multiple (LCM) of 67920 and 67932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67920 and 67932. First we will calculate the prime factors of 67920 and 67932.

Prime Factorization of 67920

Prime Factorization of 67932

Now multiplying the highest exponent prime factors to calculate the LCM of 67920 and 67932.

LCM(67920,67932) = 2⁴ × 3³ × 5¹ × 283¹ × 17¹ × 37¹
LCM(67920,67932) = 384495120