What is the Least Common Multiple of 88540 and 88551?

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 88540 and 88551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88540 and 88551, than apply into the LCM equation.

GCF(88540,88551) = 1
LCM(88540,88551) = ( 88540 × 88551) / 1
LCM(88540,88551) = 7840305540 / 1
LCM(88540,88551) = 7840305540

Least Common Multiple (LCM) of 88540 and 88551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88540 and 88551. First we will calculate the prime factors of 88540 and 88551.

Prime Factorization of 88540

Prime Factorization of 88551

Now multiplying the highest exponent prime factors to calculate the LCM of 88540 and 88551.

LCM(88540,88551) = 2² × 5¹ × 19¹ × 233¹ × 3² × 9839¹
LCM(88540,88551) = 7840305540