What is the Least Common Multiple of 95424 and 95438?

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 95424 and 95438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95424 and 95438, than apply into the LCM equation.

GCF(95424,95438) = 14
LCM(95424,95438) = ( 95424 × 95438) / 14
LCM(95424,95438) = 9107075712 / 14
LCM(95424,95438) = 650505408

Least Common Multiple (LCM) of 95424 and 95438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95424 and 95438. First we will calculate the prime factors of 95424 and 95438.

Prime Factorization of 95424

Prime Factorization of 95438

Now multiplying the highest exponent prime factors to calculate the LCM of 95424 and 95438.

LCM(95424,95438) = 2⁶ × 3¹ × 7¹ × 71¹ × 17¹ × 401¹
LCM(95424,95438) = 650505408