What is the Least Common Multiple of 35174 and 35192?

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 35174 and 35192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35174 and 35192, than apply into the LCM equation.

GCF(35174,35192) = 2
LCM(35174,35192) = ( 35174 × 35192) / 2
LCM(35174,35192) = 1237843408 / 2
LCM(35174,35192) = 618921704

Least Common Multiple (LCM) of 35174 and 35192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35174 and 35192. First we will calculate the prime factors of 35174 and 35192.

Prime Factorization of 35174

Prime Factorization of 35192

Now multiplying the highest exponent prime factors to calculate the LCM of 35174 and 35192.

LCM(35174,35192) = 2³ × 43¹ × 409¹ × 53¹ × 83¹
LCM(35174,35192) = 618921704