What is the Least Common Multiple of 95145 and 95162?

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 95145 and 95162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95145 and 95162, than apply into the LCM equation.

GCF(95145,95162) = 1
LCM(95145,95162) = ( 95145 × 95162) / 1
LCM(95145,95162) = 9054188490 / 1
LCM(95145,95162) = 9054188490

Least Common Multiple (LCM) of 95145 and 95162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95145 and 95162. First we will calculate the prime factors of 95145 and 95162.

Prime Factorization of 95145

Prime Factorization of 95162

Now multiplying the highest exponent prime factors to calculate the LCM of 95145 and 95162.

LCM(95145,95162) = 3¹ × 5¹ × 6343¹ × 2¹ × 47581¹
LCM(95145,95162) = 9054188490