What is the Least Common Multiple of 85624 and 85643?

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 85624 and 85643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85624 and 85643, than apply into the LCM equation.

GCF(85624,85643) = 1
LCM(85624,85643) = ( 85624 × 85643) / 1
LCM(85624,85643) = 7333096232 / 1
LCM(85624,85643) = 7333096232

Least Common Multiple (LCM) of 85624 and 85643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85624 and 85643. First we will calculate the prime factors of 85624 and 85643.

Prime Factorization of 85624

Prime Factorization of 85643

Now multiplying the highest exponent prime factors to calculate the LCM of 85624 and 85643.

LCM(85624,85643) = 2³ × 7¹ × 11¹ × 139¹ × 85643¹
LCM(85624,85643) = 7333096232