What is the Least Common Multiple of 89235 and 89252?

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 89235 and 89252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89235 and 89252, than apply into the LCM equation.

GCF(89235,89252) = 1
LCM(89235,89252) = ( 89235 × 89252) / 1
LCM(89235,89252) = 7964402220 / 1
LCM(89235,89252) = 7964402220

Least Common Multiple (LCM) of 89235 and 89252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89235 and 89252. First we will calculate the prime factors of 89235 and 89252.

Prime Factorization of 89235

Prime Factorization of 89252

Now multiplying the highest exponent prime factors to calculate the LCM of 89235 and 89252.

LCM(89235,89252) = 3³ × 5¹ × 661¹ × 2² × 53¹ × 421¹
LCM(89235,89252) = 7964402220