What is the Least Common Multiple of 95192 and 95198?

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 95192 and 95198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95192 and 95198, than apply into the LCM equation.

GCF(95192,95198) = 2
LCM(95192,95198) = ( 95192 × 95198) / 2
LCM(95192,95198) = 9062088016 / 2
LCM(95192,95198) = 4531044008

Least Common Multiple (LCM) of 95192 and 95198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95192 and 95198. First we will calculate the prime factors of 95192 and 95198.

Prime Factorization of 95192

Prime Factorization of 95198

Now multiplying the highest exponent prime factors to calculate the LCM of 95192 and 95198.

LCM(95192,95198) = 2³ × 73¹ × 163¹ × 47599¹
LCM(95192,95198) = 4531044008