What is the Least Common Multiple of 67760 and 67772?

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 67760 and 67772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67760 and 67772, than apply into the LCM equation.

GCF(67760,67772) = 4
LCM(67760,67772) = ( 67760 × 67772) / 4
LCM(67760,67772) = 4592230720 / 4
LCM(67760,67772) = 1148057680

Least Common Multiple (LCM) of 67760 and 67772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67760 and 67772. First we will calculate the prime factors of 67760 and 67772.

Prime Factorization of 67760

Prime Factorization of 67772

Now multiplying the highest exponent prime factors to calculate the LCM of 67760 and 67772.

LCM(67760,67772) = 2⁴ × 5¹ × 7¹ × 11² × 16943¹
LCM(67760,67772) = 1148057680