What is the Least Common Multiple of 85600 and 85614?

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 85600 and 85614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85600 and 85614, than apply into the LCM equation.

GCF(85600,85614) = 2
LCM(85600,85614) = ( 85600 × 85614) / 2
LCM(85600,85614) = 7328558400 / 2
LCM(85600,85614) = 3664279200

Least Common Multiple (LCM) of 85600 and 85614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85600 and 85614. First we will calculate the prime factors of 85600 and 85614.

Prime Factorization of 85600

Prime Factorization of 85614

Now multiplying the highest exponent prime factors to calculate the LCM of 85600 and 85614.

LCM(85600,85614) = 2⁵ × 5² × 107¹ × 3¹ × 19¹ × 751¹
LCM(85600,85614) = 3664279200