What is the Least Common Multiple of 67980 and 67992?

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 67980 and 67992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67980 and 67992, than apply into the LCM equation.

GCF(67980,67992) = 12
LCM(67980,67992) = ( 67980 × 67992) / 12
LCM(67980,67992) = 4622096160 / 12
LCM(67980,67992) = 385174680

Least Common Multiple (LCM) of 67980 and 67992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67980 and 67992. First we will calculate the prime factors of 67980 and 67992.

Prime Factorization of 67980

Prime Factorization of 67992

Now multiplying the highest exponent prime factors to calculate the LCM of 67980 and 67992.

LCM(67980,67992) = 2³ × 3¹ × 5¹ × 11¹ × 103¹ × 2833¹
LCM(67980,67992) = 385174680