What is the Least Common Multiple of 85644 and 85654?

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 85644 and 85654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85644 and 85654, than apply into the LCM equation.

GCF(85644,85654) = 2
LCM(85644,85654) = ( 85644 × 85654) / 2
LCM(85644,85654) = 7335751176 / 2
LCM(85644,85654) = 3667875588

Least Common Multiple (LCM) of 85644 and 85654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85644 and 85654. First we will calculate the prime factors of 85644 and 85654.

Prime Factorization of 85644

Prime Factorization of 85654

Now multiplying the highest exponent prime factors to calculate the LCM of 85644 and 85654.

LCM(85644,85654) = 2² × 3³ × 13¹ × 61¹ × 113¹ × 379¹
LCM(85644,85654) = 3667875588