What is the Least Common Multiple of 85312 and 85330?

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 85312 and 85330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85312 and 85330, than apply into the LCM equation.

GCF(85312,85330) = 2
LCM(85312,85330) = ( 85312 × 85330) / 2
LCM(85312,85330) = 7279672960 / 2
LCM(85312,85330) = 3639836480

Least Common Multiple (LCM) of 85312 and 85330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85312 and 85330. First we will calculate the prime factors of 85312 and 85330.

Prime Factorization of 85312

Prime Factorization of 85330

Now multiplying the highest exponent prime factors to calculate the LCM of 85312 and 85330.

LCM(85312,85330) = 2⁶ × 31¹ × 43¹ × 5¹ × 7¹ × 23¹ × 53¹
LCM(85312,85330) = 3639836480