What is the Least Common Multiple of 81936 and 81945?

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 81936 and 81945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81936 and 81945, than apply into the LCM equation.

GCF(81936,81945) = 9
LCM(81936,81945) = ( 81936 × 81945) / 9
LCM(81936,81945) = 6714245520 / 9
LCM(81936,81945) = 746027280

Least Common Multiple (LCM) of 81936 and 81945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81936 and 81945. First we will calculate the prime factors of 81936 and 81945.

Prime Factorization of 81936

Prime Factorization of 81945

Now multiplying the highest exponent prime factors to calculate the LCM of 81936 and 81945.

LCM(81936,81945) = 2⁴ × 3³ × 569¹ × 5¹ × 607¹
LCM(81936,81945) = 746027280