What is the Least Common Multiple of 52782 and 52801?

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 52782 and 52801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52782 and 52801, than apply into the LCM equation.

GCF(52782,52801) = 19
LCM(52782,52801) = ( 52782 × 52801) / 19
LCM(52782,52801) = 2786942382 / 19
LCM(52782,52801) = 146681178

Least Common Multiple (LCM) of 52782 and 52801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52782 and 52801. First we will calculate the prime factors of 52782 and 52801.

Prime Factorization of 52782

Prime Factorization of 52801

Now multiplying the highest exponent prime factors to calculate the LCM of 52782 and 52801.

LCM(52782,52801) = 2¹ × 3¹ × 19¹ × 463¹ × 7¹ × 397¹
LCM(52782,52801) = 146681178