What is the Least Common Multiple of 95344 and 95364?

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 95344 and 95364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95344 and 95364, than apply into the LCM equation.

GCF(95344,95364) = 4
LCM(95344,95364) = ( 95344 × 95364) / 4
LCM(95344,95364) = 9092385216 / 4
LCM(95344,95364) = 2273096304

Least Common Multiple (LCM) of 95344 and 95364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95344 and 95364. First we will calculate the prime factors of 95344 and 95364.

Prime Factorization of 95344

Prime Factorization of 95364

Now multiplying the highest exponent prime factors to calculate the LCM of 95344 and 95364.

LCM(95344,95364) = 2⁴ × 59¹ × 101¹ × 3³ × 883¹
LCM(95344,95364) = 2273096304