What is the Least Common Multiple of 96254 and 96262?

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 96254 and 96262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96254 and 96262, than apply into the LCM equation.

GCF(96254,96262) = 2
LCM(96254,96262) = ( 96254 × 96262) / 2
LCM(96254,96262) = 9265602548 / 2
LCM(96254,96262) = 4632801274

Least Common Multiple (LCM) of 96254 and 96262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96254 and 96262. First we will calculate the prime factors of 96254 and 96262.

Prime Factorization of 96254

Prime Factorization of 96262

Now multiplying the highest exponent prime factors to calculate the LCM of 96254 and 96262.

LCM(96254,96262) = 2¹ × 17¹ × 19¹ × 149¹ × 48131¹
LCM(96254,96262) = 4632801274