What is the Least Common Multiple of 96438 and 96446?

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 96438 and 96446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96438 and 96446, than apply into the LCM equation.

GCF(96438,96446) = 2
LCM(96438,96446) = ( 96438 × 96446) / 2
LCM(96438,96446) = 9301059348 / 2
LCM(96438,96446) = 4650529674

Least Common Multiple (LCM) of 96438 and 96446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96438 and 96446. First we will calculate the prime factors of 96438 and 96446.

Prime Factorization of 96438

Prime Factorization of 96446

Now multiplying the highest exponent prime factors to calculate the LCM of 96438 and 96446.

LCM(96438,96446) = 2¹ × 3¹ × 16073¹ × 7¹ × 83²
LCM(96438,96446) = 4650529674