What is the Least Common Multiple of 88105 and 88112?

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 88105 and 88112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88105 and 88112, than apply into the LCM equation.

GCF(88105,88112) = 1
LCM(88105,88112) = ( 88105 × 88112) / 1
LCM(88105,88112) = 7763107760 / 1
LCM(88105,88112) = 7763107760

Least Common Multiple (LCM) of 88105 and 88112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88105 and 88112. First we will calculate the prime factors of 88105 and 88112.

Prime Factorization of 88105

Prime Factorization of 88112

Now multiplying the highest exponent prime factors to calculate the LCM of 88105 and 88112.

LCM(88105,88112) = 5¹ × 67¹ × 263¹ × 2⁴ × 5507¹
LCM(88105,88112) = 7763107760