What is the Least Common Multiple of 88874 and 88892?

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 88874 and 88892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88874 and 88892, than apply into the LCM equation.

GCF(88874,88892) = 2
LCM(88874,88892) = ( 88874 × 88892) / 2
LCM(88874,88892) = 7900187608 / 2
LCM(88874,88892) = 3950093804

Least Common Multiple (LCM) of 88874 and 88892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88874 and 88892. First we will calculate the prime factors of 88874 and 88892.

Prime Factorization of 88874

Prime Factorization of 88892

Now multiplying the highest exponent prime factors to calculate the LCM of 88874 and 88892.

LCM(88874,88892) = 2² × 37¹ × 1201¹ × 71¹ × 313¹
LCM(88874,88892) = 3950093804