What is the Least Common Multiple of 35685 and 35696?

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 35685 and 35696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35685 and 35696, than apply into the LCM equation.

GCF(35685,35696) = 1
LCM(35685,35696) = ( 35685 × 35696) / 1
LCM(35685,35696) = 1273811760 / 1
LCM(35685,35696) = 1273811760

Least Common Multiple (LCM) of 35685 and 35696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35685 and 35696. First we will calculate the prime factors of 35685 and 35696.

Prime Factorization of 35685

Prime Factorization of 35696

Now multiplying the highest exponent prime factors to calculate the LCM of 35685 and 35696.

LCM(35685,35696) = 3² × 5¹ × 13¹ × 61¹ × 2⁴ × 23¹ × 97¹
LCM(35685,35696) = 1273811760