What is the Least Common Multiple of 95328 and 95342?

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 95328 and 95342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95328 and 95342, than apply into the LCM equation.

GCF(95328,95342) = 2
LCM(95328,95342) = ( 95328 × 95342) / 2
LCM(95328,95342) = 9088762176 / 2
LCM(95328,95342) = 4544381088

Least Common Multiple (LCM) of 95328 and 95342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95328 and 95342. First we will calculate the prime factors of 95328 and 95342.

Prime Factorization of 95328

Prime Factorization of 95342

Now multiplying the highest exponent prime factors to calculate the LCM of 95328 and 95342.

LCM(95328,95342) = 2⁵ × 3² × 331¹ × 13¹ × 19¹ × 193¹
LCM(95328,95342) = 4544381088