What is the Least Common Multiple of 88060 and 88078?

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 88060 and 88078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88060 and 88078, than apply into the LCM equation.

GCF(88060,88078) = 2
LCM(88060,88078) = ( 88060 × 88078) / 2
LCM(88060,88078) = 7756148680 / 2
LCM(88060,88078) = 3878074340

Least Common Multiple (LCM) of 88060 and 88078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88060 and 88078. First we will calculate the prime factors of 88060 and 88078.

Prime Factorization of 88060

Prime Factorization of 88078

Now multiplying the highest exponent prime factors to calculate the LCM of 88060 and 88078.

LCM(88060,88078) = 2² × 5¹ × 7¹ × 17¹ × 37¹ × 47¹ × 937¹
LCM(88060,88078) = 3878074340