What is the Least Common Multiple of 97014 and 97032?

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 97014 and 97032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97014 and 97032, than apply into the LCM equation.

GCF(97014,97032) = 6
LCM(97014,97032) = ( 97014 × 97032) / 6
LCM(97014,97032) = 9413462448 / 6
LCM(97014,97032) = 1568910408

Least Common Multiple (LCM) of 97014 and 97032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97014 and 97032. First we will calculate the prime factors of 97014 and 97032.

Prime Factorization of 97014

Prime Factorization of 97032

Now multiplying the highest exponent prime factors to calculate the LCM of 97014 and 97032.

LCM(97014,97032) = 2³ × 3¹ × 19¹ × 23¹ × 37¹ × 13¹ × 311¹
LCM(97014,97032) = 1568910408