What is the Least Common Multiple of 10785 and 10797?

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 10785 and 10797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10785 and 10797, than apply into the LCM equation.

GCF(10785,10797) = 3
LCM(10785,10797) = ( 10785 × 10797) / 3
LCM(10785,10797) = 116445645 / 3
LCM(10785,10797) = 38815215

Least Common Multiple (LCM) of 10785 and 10797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10785 and 10797. First we will calculate the prime factors of 10785 and 10797.

Prime Factorization of 10785

Prime Factorization of 10797

Now multiplying the highest exponent prime factors to calculate the LCM of 10785 and 10797.

LCM(10785,10797) = 3¹ × 5¹ × 719¹ × 59¹ × 61¹
LCM(10785,10797) = 38815215