What is the Least Common Multiple of 81200 and 81204?

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 81200 and 81204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81200 and 81204, than apply into the LCM equation.

GCF(81200,81204) = 4
LCM(81200,81204) = ( 81200 × 81204) / 4
LCM(81200,81204) = 6593764800 / 4
LCM(81200,81204) = 1648441200

Least Common Multiple (LCM) of 81200 and 81204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81200 and 81204. First we will calculate the prime factors of 81200 and 81204.

Prime Factorization of 81200

Prime Factorization of 81204

Now multiplying the highest exponent prime factors to calculate the LCM of 81200 and 81204.

LCM(81200,81204) = 2⁴ × 5² × 7¹ × 29¹ × 3¹ × 67¹ × 101¹
LCM(81200,81204) = 1648441200