What is the Least Common Multiple of 35772 and 35782?

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 35772 and 35782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35772 and 35782, than apply into the LCM equation.

GCF(35772,35782) = 2
LCM(35772,35782) = ( 35772 × 35782) / 2
LCM(35772,35782) = 1279993704 / 2
LCM(35772,35782) = 639996852

Least Common Multiple (LCM) of 35772 and 35782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35772 and 35782. First we will calculate the prime factors of 35772 and 35782.

Prime Factorization of 35772

Prime Factorization of 35782

Now multiplying the highest exponent prime factors to calculate the LCM of 35772 and 35782.

LCM(35772,35782) = 2² × 3¹ × 11¹ × 271¹ × 17891¹
LCM(35772,35782) = 639996852