What is the Least Common Multiple of 35340 and 35352?

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 35340 and 35352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35340 and 35352, than apply into the LCM equation.

GCF(35340,35352) = 12
LCM(35340,35352) = ( 35340 × 35352) / 12
LCM(35340,35352) = 1249339680 / 12
LCM(35340,35352) = 104111640

Least Common Multiple (LCM) of 35340 and 35352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35340 and 35352. First we will calculate the prime factors of 35340 and 35352.

Prime Factorization of 35340

Prime Factorization of 35352

Now multiplying the highest exponent prime factors to calculate the LCM of 35340 and 35352.

LCM(35340,35352) = 2³ × 3² × 5¹ × 19¹ × 31¹ × 491¹
LCM(35340,35352) = 104111640