What is the Least Common Multiple of 62781 and 62790?

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 62781 and 62790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62781 and 62790, than apply into the LCM equation.

GCF(62781,62790) = 3
LCM(62781,62790) = ( 62781 × 62790) / 3
LCM(62781,62790) = 3942018990 / 3
LCM(62781,62790) = 1314006330

Least Common Multiple (LCM) of 62781 and 62790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62781 and 62790. First we will calculate the prime factors of 62781 and 62790.

Prime Factorization of 62781

Prime Factorization of 62790

Now multiplying the highest exponent prime factors to calculate the LCM of 62781 and 62790.

LCM(62781,62790) = 3¹ × 17¹ × 1231¹ × 2¹ × 5¹ × 7¹ × 13¹ × 23¹
LCM(62781,62790) = 1314006330