What is the Least Common Multiple of 85468 and 85479?

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 85468 and 85479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85468 and 85479, than apply into the LCM equation.

GCF(85468,85479) = 1
LCM(85468,85479) = ( 85468 × 85479) / 1
LCM(85468,85479) = 7305719172 / 1
LCM(85468,85479) = 7305719172

Least Common Multiple (LCM) of 85468 and 85479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85468 and 85479. First we will calculate the prime factors of 85468 and 85479.

Prime Factorization of 85468

Prime Factorization of 85479

Now multiplying the highest exponent prime factors to calculate the LCM of 85468 and 85479.

LCM(85468,85479) = 2² × 23¹ × 929¹ × 3¹ × 28493¹
LCM(85468,85479) = 7305719172