What is the Least Common Multiple of 96420 and 96438?

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 96420 and 96438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96420 and 96438, than apply into the LCM equation.

GCF(96420,96438) = 6
LCM(96420,96438) = ( 96420 × 96438) / 6
LCM(96420,96438) = 9298551960 / 6
LCM(96420,96438) = 1549758660

Least Common Multiple (LCM) of 96420 and 96438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96420 and 96438. First we will calculate the prime factors of 96420 and 96438.

Prime Factorization of 96420

Prime Factorization of 96438

Now multiplying the highest exponent prime factors to calculate the LCM of 96420 and 96438.

LCM(96420,96438) = 2² × 3¹ × 5¹ × 1607¹ × 16073¹
LCM(96420,96438) = 1549758660