What is the Least Common Multiple of 88890 and 88905?

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 88890 and 88905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88890 and 88905, than apply into the LCM equation.

GCF(88890,88905) = 15
LCM(88890,88905) = ( 88890 × 88905) / 15
LCM(88890,88905) = 7902765450 / 15
LCM(88890,88905) = 526851030

Least Common Multiple (LCM) of 88890 and 88905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88890 and 88905. First we will calculate the prime factors of 88890 and 88905.

Prime Factorization of 88890

Prime Factorization of 88905

Now multiplying the highest exponent prime factors to calculate the LCM of 88890 and 88905.

LCM(88890,88905) = 2¹ × 3¹ × 5¹ × 2963¹ × 5927¹
LCM(88890,88905) = 526851030