What is the Least Common Multiple of 85278 and 85290?

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 85278 and 85290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85278 and 85290, than apply into the LCM equation.

GCF(85278,85290) = 6
LCM(85278,85290) = ( 85278 × 85290) / 6
LCM(85278,85290) = 7273360620 / 6
LCM(85278,85290) = 1212226770

Least Common Multiple (LCM) of 85278 and 85290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85278 and 85290. First we will calculate the prime factors of 85278 and 85290.

Prime Factorization of 85278

Prime Factorization of 85290

Now multiplying the highest exponent prime factors to calculate the LCM of 85278 and 85290.

LCM(85278,85290) = 2¹ × 3¹ × 61¹ × 233¹ × 5¹ × 2843¹
LCM(85278,85290) = 1212226770