What is the Least Common Multiple of 85536 and 85550?

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 85536 and 85550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85536 and 85550, than apply into the LCM equation.

GCF(85536,85550) = 2
LCM(85536,85550) = ( 85536 × 85550) / 2
LCM(85536,85550) = 7317604800 / 2
LCM(85536,85550) = 3658802400

Least Common Multiple (LCM) of 85536 and 85550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85536 and 85550. First we will calculate the prime factors of 85536 and 85550.

Prime Factorization of 85536

Prime Factorization of 85550

Now multiplying the highest exponent prime factors to calculate the LCM of 85536 and 85550.

LCM(85536,85550) = 2⁵ × 3⁵ × 11¹ × 5² × 29¹ × 59¹
LCM(85536,85550) = 3658802400