What is the Least Common Multiple of 85624 and 85630?

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 85630 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 85630, than apply into the LCM equation.

GCF(85624,85630) = 2
LCM(85624,85630) = ( 85624 × 85630) / 2
LCM(85624,85630) = 7331983120 / 2
LCM(85624,85630) = 3665991560

Least Common Multiple (LCM) of 85624 and 85630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85624 and 85630. First we will calculate the prime factors of 85624 and 85630.

Prime Factorization of 85624

Prime Factorization of 85630

Now multiplying the highest exponent prime factors to calculate the LCM of 85624 and 85630.

LCM(85624,85630) = 2³ × 7¹ × 11¹ × 139¹ × 5¹ × 8563¹
LCM(85624,85630) = 3665991560