What is the Least Common Multiple of 85620 and 85640?

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 85620 and 85640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85620 and 85640, than apply into the LCM equation.

GCF(85620,85640) = 20
LCM(85620,85640) = ( 85620 × 85640) / 20
LCM(85620,85640) = 7332496800 / 20
LCM(85620,85640) = 366624840

Least Common Multiple (LCM) of 85620 and 85640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85620 and 85640. First we will calculate the prime factors of 85620 and 85640.

Prime Factorization of 85620

Prime Factorization of 85640

Now multiplying the highest exponent prime factors to calculate the LCM of 85620 and 85640.

LCM(85620,85640) = 2³ × 3¹ × 5¹ × 1427¹ × 2141¹
LCM(85620,85640) = 366624840