What is the Least Common Multiple of 88072 and 88076?

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 88072 and 88076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88072 and 88076, than apply into the LCM equation.

GCF(88072,88076) = 4
LCM(88072,88076) = ( 88072 × 88076) / 4
LCM(88072,88076) = 7757029472 / 4
LCM(88072,88076) = 1939257368

Least Common Multiple (LCM) of 88072 and 88076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88072 and 88076. First we will calculate the prime factors of 88072 and 88076.

Prime Factorization of 88072

Prime Factorization of 88076

Now multiplying the highest exponent prime factors to calculate the LCM of 88072 and 88076.

LCM(88072,88076) = 2³ × 101¹ × 109¹ × 97¹ × 227¹
LCM(88072,88076) = 1939257368