What is the Least Common Multiple of 88123 and 88138?

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 88123 and 88138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88123 and 88138, than apply into the LCM equation.

GCF(88123,88138) = 1
LCM(88123,88138) = ( 88123 × 88138) / 1
LCM(88123,88138) = 7766984974 / 1
LCM(88123,88138) = 7766984974

Least Common Multiple (LCM) of 88123 and 88138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88123 and 88138. First we will calculate the prime factors of 88123 and 88138.

Prime Factorization of 88123

Prime Factorization of 88138

Now multiplying the highest exponent prime factors to calculate the LCM of 88123 and 88138.

LCM(88123,88138) = 7¹ × 12589¹ × 2¹ × 127¹ × 347¹
LCM(88123,88138) = 7766984974