What is the Least Common Multiple of 35604 and 35624?

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 35604 and 35624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35604 and 35624, than apply into the LCM equation.

GCF(35604,35624) = 4
LCM(35604,35624) = ( 35604 × 35624) / 4
LCM(35604,35624) = 1268356896 / 4
LCM(35604,35624) = 317089224

Least Common Multiple (LCM) of 35604 and 35624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35604 and 35624. First we will calculate the prime factors of 35604 and 35624.

Prime Factorization of 35604

Prime Factorization of 35624

Now multiplying the highest exponent prime factors to calculate the LCM of 35604 and 35624.

LCM(35604,35624) = 2³ × 3² × 23¹ × 43¹ × 61¹ × 73¹
LCM(35604,35624) = 317089224