What is the Least Common Multiple of 61878 and 61890?

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 61878 and 61890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61878 and 61890, than apply into the LCM equation.

GCF(61878,61890) = 6
LCM(61878,61890) = ( 61878 × 61890) / 6
LCM(61878,61890) = 3829629420 / 6
LCM(61878,61890) = 638271570

Least Common Multiple (LCM) of 61878 and 61890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61878 and 61890. First we will calculate the prime factors of 61878 and 61890.

Prime Factorization of 61878

Prime Factorization of 61890

Now multiplying the highest exponent prime factors to calculate the LCM of 61878 and 61890.

LCM(61878,61890) = 2¹ × 3¹ × 10313¹ × 5¹ × 2063¹
LCM(61878,61890) = 638271570