What is the Least Common Multiple of 89852 and 89863?

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 89852 and 89863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89852 and 89863, than apply into the LCM equation.

GCF(89852,89863) = 1
LCM(89852,89863) = ( 89852 × 89863) / 1
LCM(89852,89863) = 8074370276 / 1
LCM(89852,89863) = 8074370276

Least Common Multiple (LCM) of 89852 and 89863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89852 and 89863. First we will calculate the prime factors of 89852 and 89863.

Prime Factorization of 89852

Prime Factorization of 89863

Now multiplying the highest exponent prime factors to calculate the LCM of 89852 and 89863.

LCM(89852,89863) = 2² × 7¹ × 3209¹ × 73¹ × 1231¹
LCM(89852,89863) = 8074370276