What is the Least Common Multiple of 35766 and 35779?

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 35766 and 35779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35766 and 35779, than apply into the LCM equation.

GCF(35766,35779) = 1
LCM(35766,35779) = ( 35766 × 35779) / 1
LCM(35766,35779) = 1279671714 / 1
LCM(35766,35779) = 1279671714

Least Common Multiple (LCM) of 35766 and 35779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35766 and 35779. First we will calculate the prime factors of 35766 and 35779.

Prime Factorization of 35766

Prime Factorization of 35779

Now multiplying the highest exponent prime factors to calculate the LCM of 35766 and 35779.

LCM(35766,35779) = 2¹ × 3² × 1987¹ × 37¹ × 967¹
LCM(35766,35779) = 1279671714