What is the Least Common Multiple of 96354 and 96362?

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 96354 and 96362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96354 and 96362, than apply into the LCM equation.

GCF(96354,96362) = 2
LCM(96354,96362) = ( 96354 × 96362) / 2
LCM(96354,96362) = 9284864148 / 2
LCM(96354,96362) = 4642432074

Least Common Multiple (LCM) of 96354 and 96362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96354 and 96362. First we will calculate the prime factors of 96354 and 96362.

Prime Factorization of 96354

Prime Factorization of 96362

Now multiplying the highest exponent prime factors to calculate the LCM of 96354 and 96362.

LCM(96354,96362) = 2¹ × 3² × 53¹ × 101¹ × 7¹ × 6883¹
LCM(96354,96362) = 4642432074