What is the Least Common Multiple of 61900 and 61918?

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 61900 and 61918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61900 and 61918, than apply into the LCM equation.

GCF(61900,61918) = 2
LCM(61900,61918) = ( 61900 × 61918) / 2
LCM(61900,61918) = 3832724200 / 2
LCM(61900,61918) = 1916362100

Least Common Multiple (LCM) of 61900 and 61918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61900 and 61918. First we will calculate the prime factors of 61900 and 61918.

Prime Factorization of 61900

Prime Factorization of 61918

Now multiplying the highest exponent prime factors to calculate the LCM of 61900 and 61918.

LCM(61900,61918) = 2² × 5² × 619¹ × 83¹ × 373¹
LCM(61900,61918) = 1916362100