What is the Least Common Multiple of 96208 and 96222?

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 96208 and 96222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96208 and 96222, than apply into the LCM equation.

GCF(96208,96222) = 14
LCM(96208,96222) = ( 96208 × 96222) / 14
LCM(96208,96222) = 9257326176 / 14
LCM(96208,96222) = 661237584

Least Common Multiple (LCM) of 96208 and 96222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96208 and 96222. First we will calculate the prime factors of 96208 and 96222.

Prime Factorization of 96208

Prime Factorization of 96222

Now multiplying the highest exponent prime factors to calculate the LCM of 96208 and 96222.

LCM(96208,96222) = 2⁴ × 7¹ × 859¹ × 3¹ × 29¹ × 79¹
LCM(96208,96222) = 661237584