What is the Least Common Multiple of 85464 and 85470?

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 85464 and 85470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85464 and 85470, than apply into the LCM equation.

GCF(85464,85470) = 6
LCM(85464,85470) = ( 85464 × 85470) / 6
LCM(85464,85470) = 7304608080 / 6
LCM(85464,85470) = 1217434680

Least Common Multiple (LCM) of 85464 and 85470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85464 and 85470. First we will calculate the prime factors of 85464 and 85470.

Prime Factorization of 85464

Prime Factorization of 85470

Now multiplying the highest exponent prime factors to calculate the LCM of 85464 and 85470.

LCM(85464,85470) = 2³ × 3² × 1187¹ × 5¹ × 7¹ × 11¹ × 37¹
LCM(85464,85470) = 1217434680