What is the Least Common Multiple of 35564 and 35572?

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 35564 and 35572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35564 and 35572, than apply into the LCM equation.

GCF(35564,35572) = 4
LCM(35564,35572) = ( 35564 × 35572) / 4
LCM(35564,35572) = 1265082608 / 4
LCM(35564,35572) = 316270652

Least Common Multiple (LCM) of 35564 and 35572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35564 and 35572. First we will calculate the prime factors of 35564 and 35572.

Prime Factorization of 35564

Prime Factorization of 35572

Now multiplying the highest exponent prime factors to calculate the LCM of 35564 and 35572.

LCM(35564,35572) = 2² × 17¹ × 523¹ × 8893¹
LCM(35564,35572) = 316270652