What is the Least Common Multiple of 85064 and 85079?

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 85064 and 85079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85064 and 85079, than apply into the LCM equation.

GCF(85064,85079) = 1
LCM(85064,85079) = ( 85064 × 85079) / 1
LCM(85064,85079) = 7237160056 / 1
LCM(85064,85079) = 7237160056

Least Common Multiple (LCM) of 85064 and 85079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85064 and 85079. First we will calculate the prime factors of 85064 and 85079.

Prime Factorization of 85064

Prime Factorization of 85079

Now multiplying the highest exponent prime factors to calculate the LCM of 85064 and 85079.

LCM(85064,85079) = 2³ × 7³ × 31¹ × 149¹ × 571¹
LCM(85064,85079) = 7237160056