What is the Least Common Multiple of 85609 and 85620?

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 85609 and 85620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85609 and 85620, than apply into the LCM equation.

GCF(85609,85620) = 1
LCM(85609,85620) = ( 85609 × 85620) / 1
LCM(85609,85620) = 7329842580 / 1
LCM(85609,85620) = 7329842580

Least Common Multiple (LCM) of 85609 and 85620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85609 and 85620. First we will calculate the prime factors of 85609 and 85620.

Prime Factorization of 85609

Prime Factorization of 85620

Now multiplying the highest exponent prime factors to calculate the LCM of 85609 and 85620.

LCM(85609,85620) = 59¹ × 1451¹ × 2² × 3¹ × 5¹ × 1427¹
LCM(85609,85620) = 7329842580