What is the Least Common Multiple of 89200 and 89211?

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 89200 and 89211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89200 and 89211, than apply into the LCM equation.

GCF(89200,89211) = 1
LCM(89200,89211) = ( 89200 × 89211) / 1
LCM(89200,89211) = 7957621200 / 1
LCM(89200,89211) = 7957621200

Least Common Multiple (LCM) of 89200 and 89211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89200 and 89211. First we will calculate the prime factors of 89200 and 89211.

Prime Factorization of 89200

Prime Factorization of 89211

Now multiplying the highest exponent prime factors to calculate the LCM of 89200 and 89211.

LCM(89200,89211) = 2⁴ × 5² × 223¹ × 3¹ × 131¹ × 227¹
LCM(89200,89211) = 7957621200