What is the Least Common Multiple of 97219 and 97237?

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 97237 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 97237, than apply into the LCM equation.

GCF(97219,97237) = 1
LCM(97219,97237) = ( 97219 × 97237) / 1
LCM(97219,97237) = 9453283903 / 1
LCM(97219,97237) = 9453283903

Least Common Multiple (LCM) of 97219 and 97237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97219 and 97237. First we will calculate the prime factors of 97219 and 97237.

Prime Factorization of 97219

Prime Factorization of 97237

Now multiplying the highest exponent prime factors to calculate the LCM of 97219 and 97237.

LCM(97219,97237) = 191¹ × 509¹ × 7¹ × 29¹ × 479¹
LCM(97219,97237) = 9453283903