What is the Least Common Multiple of 85440 and 85452?

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 85440 and 85452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85440 and 85452, than apply into the LCM equation.

GCF(85440,85452) = 12
LCM(85440,85452) = ( 85440 × 85452) / 12
LCM(85440,85452) = 7301018880 / 12
LCM(85440,85452) = 608418240

Least Common Multiple (LCM) of 85440 and 85452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85440 and 85452. First we will calculate the prime factors of 85440 and 85452.

Prime Factorization of 85440

Prime Factorization of 85452

Now multiplying the highest exponent prime factors to calculate the LCM of 85440 and 85452.

LCM(85440,85452) = 2⁶ × 3¹ × 5¹ × 89¹ × 7121¹
LCM(85440,85452) = 608418240