What is the Least Common Multiple of 88045 and 88055?

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 88045 and 88055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88045 and 88055, than apply into the LCM equation.

GCF(88045,88055) = 5
LCM(88045,88055) = ( 88045 × 88055) / 5
LCM(88045,88055) = 7752802475 / 5
LCM(88045,88055) = 1550560495

Least Common Multiple (LCM) of 88045 and 88055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88045 and 88055. First we will calculate the prime factors of 88045 and 88055.

Prime Factorization of 88045

Prime Factorization of 88055

Now multiplying the highest exponent prime factors to calculate the LCM of 88045 and 88055.

LCM(88045,88055) = 5¹ × 17609¹ × 11¹ × 1601¹
LCM(88045,88055) = 1550560495