What is the Least Common Multiple of 95962 and 95975?

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 95962 and 95975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95962 and 95975, than apply into the LCM equation.

GCF(95962,95975) = 1
LCM(95962,95975) = ( 95962 × 95975) / 1
LCM(95962,95975) = 9209952950 / 1
LCM(95962,95975) = 9209952950

Least Common Multiple (LCM) of 95962 and 95975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95962 and 95975. First we will calculate the prime factors of 95962 and 95975.

Prime Factorization of 95962

Prime Factorization of 95975

Now multiplying the highest exponent prime factors to calculate the LCM of 95962 and 95975.

LCM(95962,95975) = 2¹ × 47981¹ × 5² × 11¹ × 349¹
LCM(95962,95975) = 9209952950