What is the Least Common Multiple of 95974 and 95993?

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 95974 and 95993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95974 and 95993, than apply into the LCM equation.

GCF(95974,95993) = 1
LCM(95974,95993) = ( 95974 × 95993) / 1
LCM(95974,95993) = 9212832182 / 1
LCM(95974,95993) = 9212832182

Least Common Multiple (LCM) of 95974 and 95993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95974 and 95993. First we will calculate the prime factors of 95974 and 95993.

Prime Factorization of 95974

Prime Factorization of 95993

Now multiplying the highest exponent prime factors to calculate the LCM of 95974 and 95993.

LCM(95974,95993) = 2¹ × 47¹ × 1021¹ × 59¹ × 1627¹
LCM(95974,95993) = 9212832182