What is the Least Common Multiple of 88145 and 88162?

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 88145 and 88162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88145 and 88162, than apply into the LCM equation.

GCF(88145,88162) = 17
LCM(88145,88162) = ( 88145 × 88162) / 17
LCM(88145,88162) = 7771039490 / 17
LCM(88145,88162) = 457119970

Least Common Multiple (LCM) of 88145 and 88162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88145 and 88162. First we will calculate the prime factors of 88145 and 88162.

Prime Factorization of 88145

Prime Factorization of 88162

Now multiplying the highest exponent prime factors to calculate the LCM of 88145 and 88162.

LCM(88145,88162) = 5¹ × 17² × 61¹ × 2¹ × 2593¹
LCM(88145,88162) = 457119970