What is the Least Common Multiple of 81792 and 81801?

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 81792 and 81801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81792 and 81801, than apply into the LCM equation.

GCF(81792,81801) = 9
LCM(81792,81801) = ( 81792 × 81801) / 9
LCM(81792,81801) = 6690667392 / 9
LCM(81792,81801) = 743407488

Least Common Multiple (LCM) of 81792 and 81801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81792 and 81801. First we will calculate the prime factors of 81792 and 81801.

Prime Factorization of 81792

Prime Factorization of 81801

Now multiplying the highest exponent prime factors to calculate the LCM of 81792 and 81801.

LCM(81792,81801) = 2⁷ × 3² × 71¹ × 61¹ × 149¹
LCM(81792,81801) = 743407488