What is the Least Common Multiple of 85604 and 85624?

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 85604 and 85624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85604 and 85624, than apply into the LCM equation.

GCF(85604,85624) = 4
LCM(85604,85624) = ( 85604 × 85624) / 4
LCM(85604,85624) = 7329756896 / 4
LCM(85604,85624) = 1832439224

Least Common Multiple (LCM) of 85604 and 85624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85604 and 85624. First we will calculate the prime factors of 85604 and 85624.

Prime Factorization of 85604

Prime Factorization of 85624

Now multiplying the highest exponent prime factors to calculate the LCM of 85604 and 85624.

LCM(85604,85624) = 2³ × 21401¹ × 7¹ × 11¹ × 139¹
LCM(85604,85624) = 1832439224