What is the Least Common Multiple of 35705 and 35722?

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 35705 and 35722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35705 and 35722, than apply into the LCM equation.

GCF(35705,35722) = 1
LCM(35705,35722) = ( 35705 × 35722) / 1
LCM(35705,35722) = 1275454010 / 1
LCM(35705,35722) = 1275454010

Least Common Multiple (LCM) of 35705 and 35722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35705 and 35722. First we will calculate the prime factors of 35705 and 35722.

Prime Factorization of 35705

Prime Factorization of 35722

Now multiplying the highest exponent prime factors to calculate the LCM of 35705 and 35722.

LCM(35705,35722) = 5¹ × 37¹ × 193¹ × 2¹ × 53¹ × 337¹
LCM(35705,35722) = 1275454010