What is the Least Common Multiple of 85074 and 85091?

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 85091 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 85091, than apply into the LCM equation.

GCF(85074,85091) = 1
LCM(85074,85091) = ( 85074 × 85091) / 1
LCM(85074,85091) = 7239031734 / 1
LCM(85074,85091) = 7239031734

Least Common Multiple (LCM) of 85074 and 85091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85074 and 85091. First we will calculate the prime factors of 85074 and 85091.

Prime Factorization of 85074

Prime Factorization of 85091

Now multiplying the highest exponent prime factors to calculate the LCM of 85074 and 85091.

LCM(85074,85091) = 2¹ × 3¹ × 11¹ × 1289¹ × 85091¹
LCM(85074,85091) = 7239031734