What is the Least Common Multiple of 35769 and 35788?

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 35769 and 35788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35769 and 35788, than apply into the LCM equation.

GCF(35769,35788) = 1
LCM(35769,35788) = ( 35769 × 35788) / 1
LCM(35769,35788) = 1280100972 / 1
LCM(35769,35788) = 1280100972

Least Common Multiple (LCM) of 35769 and 35788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35769 and 35788. First we will calculate the prime factors of 35769 and 35788.

Prime Factorization of 35769

Prime Factorization of 35788

Now multiplying the highest exponent prime factors to calculate the LCM of 35769 and 35788.

LCM(35769,35788) = 3¹ × 11923¹ × 2² × 23¹ × 389¹
LCM(35769,35788) = 1280100972