What is the Least Common Multiple of 35757 and 35769?

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 35757 and 35769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35757 and 35769, than apply into the LCM equation.

GCF(35757,35769) = 3
LCM(35757,35769) = ( 35757 × 35769) / 3
LCM(35757,35769) = 1278992133 / 3
LCM(35757,35769) = 426330711

Least Common Multiple (LCM) of 35757 and 35769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35757 and 35769. First we will calculate the prime factors of 35757 and 35769.

Prime Factorization of 35757

Prime Factorization of 35769

Now multiplying the highest exponent prime factors to calculate the LCM of 35757 and 35769.

LCM(35757,35769) = 3² × 29¹ × 137¹ × 11923¹
LCM(35757,35769) = 426330711