What is the Least Common Multiple of 61365 and 61370?

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 61365 and 61370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61365 and 61370, than apply into the LCM equation.

GCF(61365,61370) = 5
LCM(61365,61370) = ( 61365 × 61370) / 5
LCM(61365,61370) = 3765970050 / 5
LCM(61365,61370) = 753194010

Least Common Multiple (LCM) of 61365 and 61370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61365 and 61370. First we will calculate the prime factors of 61365 and 61370.

Prime Factorization of 61365

Prime Factorization of 61370

Now multiplying the highest exponent prime factors to calculate the LCM of 61365 and 61370.

LCM(61365,61370) = 3¹ × 5¹ × 4091¹ × 2¹ × 17¹ × 19²
LCM(61365,61370) = 753194010