What is the Least Common Multiple of 88219 and 88237?

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 88219 and 88237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88219 and 88237, than apply into the LCM equation.

GCF(88219,88237) = 1
LCM(88219,88237) = ( 88219 × 88237) / 1
LCM(88219,88237) = 7784179903 / 1
LCM(88219,88237) = 7784179903

Least Common Multiple (LCM) of 88219 and 88237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88219 and 88237. First we will calculate the prime factors of 88219 and 88237.

Prime Factorization of 88219

Prime Factorization of 88237

Now multiplying the highest exponent prime factors to calculate the LCM of 88219 and 88237.

LCM(88219,88237) = 47¹ × 1877¹ × 88237¹
LCM(88219,88237) = 7784179903