What is the Least Common Multiple of 97236 and 97248?

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 97236 and 97248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97236 and 97248, than apply into the LCM equation.

GCF(97236,97248) = 12
LCM(97236,97248) = ( 97236 × 97248) / 12
LCM(97236,97248) = 9456006528 / 12
LCM(97236,97248) = 788000544

Least Common Multiple (LCM) of 97236 and 97248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97236 and 97248. First we will calculate the prime factors of 97236 and 97248.

Prime Factorization of 97236

Prime Factorization of 97248

Now multiplying the highest exponent prime factors to calculate the LCM of 97236 and 97248.

LCM(97236,97248) = 2⁵ × 3² × 37¹ × 73¹ × 1013¹
LCM(97236,97248) = 788000544