What is the Least Common Multiple of 35552 and 35564?

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 35552 and 35564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35552 and 35564, than apply into the LCM equation.

GCF(35552,35564) = 4
LCM(35552,35564) = ( 35552 × 35564) / 4
LCM(35552,35564) = 1264371328 / 4
LCM(35552,35564) = 316092832

Least Common Multiple (LCM) of 35552 and 35564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35552 and 35564. First we will calculate the prime factors of 35552 and 35564.

Prime Factorization of 35552

Prime Factorization of 35564

Now multiplying the highest exponent prime factors to calculate the LCM of 35552 and 35564.

LCM(35552,35564) = 2⁵ × 11¹ × 101¹ × 17¹ × 523¹
LCM(35552,35564) = 316092832