What is the Least Common Multiple of 35784 and 35802?

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 35784 and 35802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35784 and 35802, than apply into the LCM equation.

GCF(35784,35802) = 18
LCM(35784,35802) = ( 35784 × 35802) / 18
LCM(35784,35802) = 1281138768 / 18
LCM(35784,35802) = 71174376

Least Common Multiple (LCM) of 35784 and 35802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35784 and 35802. First we will calculate the prime factors of 35784 and 35802.

Prime Factorization of 35784

Prime Factorization of 35802

Now multiplying the highest exponent prime factors to calculate the LCM of 35784 and 35802.

LCM(35784,35802) = 2³ × 3⁴ × 7¹ × 71¹ × 13¹ × 17¹
LCM(35784,35802) = 71174376