What is the Least Common Multiple of 68760 and 68772?

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 68760 and 68772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68760 and 68772, than apply into the LCM equation.

GCF(68760,68772) = 12
LCM(68760,68772) = ( 68760 × 68772) / 12
LCM(68760,68772) = 4728762720 / 12
LCM(68760,68772) = 394063560

Least Common Multiple (LCM) of 68760 and 68772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68760 and 68772. First we will calculate the prime factors of 68760 and 68772.

Prime Factorization of 68760

Prime Factorization of 68772

Now multiplying the highest exponent prime factors to calculate the LCM of 68760 and 68772.

LCM(68760,68772) = 2³ × 3² × 5¹ × 191¹ × 11¹ × 521¹
LCM(68760,68772) = 394063560