What is the Least Common Multiple of 35404 and 35420?

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 35404 and 35420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35404 and 35420, than apply into the LCM equation.

GCF(35404,35420) = 4
LCM(35404,35420) = ( 35404 × 35420) / 4
LCM(35404,35420) = 1254009680 / 4
LCM(35404,35420) = 313502420

Least Common Multiple (LCM) of 35404 and 35420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35404 and 35420. First we will calculate the prime factors of 35404 and 35420.

Prime Factorization of 35404

Prime Factorization of 35420

Now multiplying the highest exponent prime factors to calculate the LCM of 35404 and 35420.

LCM(35404,35420) = 2² × 53¹ × 167¹ × 5¹ × 7¹ × 11¹ × 23¹
LCM(35404,35420) = 313502420