What is the Least Common Multiple of 35414 and 35428?

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 35414 and 35428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35414 and 35428, than apply into the LCM equation.

GCF(35414,35428) = 2
LCM(35414,35428) = ( 35414 × 35428) / 2
LCM(35414,35428) = 1254647192 / 2
LCM(35414,35428) = 627323596

Least Common Multiple (LCM) of 35414 and 35428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35414 and 35428. First we will calculate the prime factors of 35414 and 35428.

Prime Factorization of 35414

Prime Factorization of 35428

Now multiplying the highest exponent prime factors to calculate the LCM of 35414 and 35428.

LCM(35414,35428) = 2² × 17707¹ × 17¹ × 521¹
LCM(35414,35428) = 627323596