What is the Least Common Multiple of 95184 and 95188?

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 95184 and 95188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95184 and 95188, than apply into the LCM equation.

GCF(95184,95188) = 4
LCM(95184,95188) = ( 95184 × 95188) / 4
LCM(95184,95188) = 9060374592 / 4
LCM(95184,95188) = 2265093648

Least Common Multiple (LCM) of 95184 and 95188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95184 and 95188. First we will calculate the prime factors of 95184 and 95188.

Prime Factorization of 95184

Prime Factorization of 95188

Now multiplying the highest exponent prime factors to calculate the LCM of 95184 and 95188.

LCM(95184,95188) = 2⁴ × 3² × 661¹ × 53¹ × 449¹
LCM(95184,95188) = 2265093648