What is the Least Common Multiple of 85074 and 85080?

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 85074 and 85080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85074 and 85080, than apply into the LCM equation.

GCF(85074,85080) = 6
LCM(85074,85080) = ( 85074 × 85080) / 6
LCM(85074,85080) = 7238095920 / 6
LCM(85074,85080) = 1206349320

Least Common Multiple (LCM) of 85074 and 85080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85074 and 85080. First we will calculate the prime factors of 85074 and 85080.

Prime Factorization of 85074

Prime Factorization of 85080

Now multiplying the highest exponent prime factors to calculate the LCM of 85074 and 85080.

LCM(85074,85080) = 2³ × 3¹ × 11¹ × 1289¹ × 5¹ × 709¹
LCM(85074,85080) = 1206349320