What is the Least Common Multiple of 35720 and 35734?

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 35720 and 35734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35720 and 35734, than apply into the LCM equation.

GCF(35720,35734) = 2
LCM(35720,35734) = ( 35720 × 35734) / 2
LCM(35720,35734) = 1276418480 / 2
LCM(35720,35734) = 638209240

Least Common Multiple (LCM) of 35720 and 35734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35720 and 35734. First we will calculate the prime factors of 35720 and 35734.

Prime Factorization of 35720

Prime Factorization of 35734

Now multiplying the highest exponent prime factors to calculate the LCM of 35720 and 35734.

LCM(35720,35734) = 2³ × 5¹ × 19¹ × 47¹ × 17¹ × 1051¹
LCM(35720,35734) = 638209240