What is the Least Common Multiple of 95355 and 95374?

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 95355 and 95374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95355 and 95374, than apply into the LCM equation.

GCF(95355,95374) = 1
LCM(95355,95374) = ( 95355 × 95374) / 1
LCM(95355,95374) = 9094387770 / 1
LCM(95355,95374) = 9094387770

Least Common Multiple (LCM) of 95355 and 95374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95355 and 95374. First we will calculate the prime factors of 95355 and 95374.

Prime Factorization of 95355

Prime Factorization of 95374

Now multiplying the highest exponent prime factors to calculate the LCM of 95355 and 95374.

LCM(95355,95374) = 3² × 5¹ × 13¹ × 163¹ × 2¹ × 43¹ × 1109¹
LCM(95355,95374) = 9094387770