What is the Least Common Multiple of 61780 and 61795?

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 61780 and 61795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61780 and 61795, than apply into the LCM equation.

GCF(61780,61795) = 5
LCM(61780,61795) = ( 61780 × 61795) / 5
LCM(61780,61795) = 3817695100 / 5
LCM(61780,61795) = 763539020

Least Common Multiple (LCM) of 61780 and 61795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61780 and 61795. First we will calculate the prime factors of 61780 and 61795.

Prime Factorization of 61780

Prime Factorization of 61795

Now multiplying the highest exponent prime factors to calculate the LCM of 61780 and 61795.

LCM(61780,61795) = 2² × 5¹ × 3089¹ × 17¹ × 727¹
LCM(61780,61795) = 763539020