What is the Least Common Multiple of 52770 and 52783?

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 52770 and 52783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52770 and 52783, than apply into the LCM equation.

GCF(52770,52783) = 1
LCM(52770,52783) = ( 52770 × 52783) / 1
LCM(52770,52783) = 2785358910 / 1
LCM(52770,52783) = 2785358910

Least Common Multiple (LCM) of 52770 and 52783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52770 and 52783. First we will calculate the prime factors of 52770 and 52783.

Prime Factorization of 52770

Prime Factorization of 52783

Now multiplying the highest exponent prime factors to calculate the LCM of 52770 and 52783.

LCM(52770,52783) = 2¹ × 3¹ × 5¹ × 1759¹ × 52783¹
LCM(52770,52783) = 2785358910