What is the Least Common Multiple of 88105 and 88109?

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 88109 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 88109, than apply into the LCM equation.

GCF(88105,88109) = 1
LCM(88105,88109) = ( 88105 × 88109) / 1
LCM(88105,88109) = 7762843445 / 1
LCM(88105,88109) = 7762843445

Least Common Multiple (LCM) of 88105 and 88109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88105 and 88109. First we will calculate the prime factors of 88105 and 88109.

Prime Factorization of 88105

Prime Factorization of 88109

Now multiplying the highest exponent prime factors to calculate the LCM of 88105 and 88109.

LCM(88105,88109) = 5¹ × 67¹ × 263¹ × 7¹ × 41¹ × 307¹
LCM(88105,88109) = 7762843445