What is the Least Common Multiple of 52770 and 52790?

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 52790 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 52790, than apply into the LCM equation.

GCF(52770,52790) = 10
LCM(52770,52790) = ( 52770 × 52790) / 10
LCM(52770,52790) = 2785728300 / 10
LCM(52770,52790) = 278572830

Least Common Multiple (LCM) of 52770 and 52790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52770 and 52790. First we will calculate the prime factors of 52770 and 52790.

Prime Factorization of 52770

Prime Factorization of 52790

Now multiplying the highest exponent prime factors to calculate the LCM of 52770 and 52790.

LCM(52770,52790) = 2¹ × 3¹ × 5¹ × 1759¹ × 5279¹
LCM(52770,52790) = 278572830