What is the Least Common Multiple of 97219 and 97239?

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 97219 and 97239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97219 and 97239, than apply into the LCM equation.

GCF(97219,97239) = 1
LCM(97219,97239) = ( 97219 × 97239) / 1
LCM(97219,97239) = 9453478341 / 1
LCM(97219,97239) = 9453478341

Least Common Multiple (LCM) of 97219 and 97239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97219 and 97239. First we will calculate the prime factors of 97219 and 97239.

Prime Factorization of 97219

Prime Factorization of 97239

Now multiplying the highest exponent prime factors to calculate the LCM of 97219 and 97239.

LCM(97219,97239) = 191¹ × 509¹ × 3¹ × 32413¹
LCM(97219,97239) = 9453478341