What is the Least Common Multiple of 97231 and 97236?

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 97231 and 97236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97231 and 97236, than apply into the LCM equation.

GCF(97231,97236) = 1
LCM(97231,97236) = ( 97231 × 97236) / 1
LCM(97231,97236) = 9454353516 / 1
LCM(97231,97236) = 9454353516

Least Common Multiple (LCM) of 97231 and 97236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97231 and 97236. First we will calculate the prime factors of 97231 and 97236.

Prime Factorization of 97231

Prime Factorization of 97236

Now multiplying the highest exponent prime factors to calculate the LCM of 97231 and 97236.

LCM(97231,97236) = 97231¹ × 2² × 3² × 37¹ × 73¹
LCM(97231,97236) = 9454353516