What is the Least Common Multiple of 95930 and 95947?

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 95930 and 95947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95930 and 95947, than apply into the LCM equation.

GCF(95930,95947) = 1
LCM(95930,95947) = ( 95930 × 95947) / 1
LCM(95930,95947) = 9204195710 / 1
LCM(95930,95947) = 9204195710

Least Common Multiple (LCM) of 95930 and 95947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95930 and 95947. First we will calculate the prime factors of 95930 and 95947.

Prime Factorization of 95930

Prime Factorization of 95947

Now multiplying the highest exponent prime factors to calculate the LCM of 95930 and 95947.

LCM(95930,95947) = 2¹ × 5¹ × 53¹ × 181¹ × 95947¹
LCM(95930,95947) = 9204195710