What is the Least Common Multiple of 61890 and 61904?

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 61890 and 61904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61890 and 61904, than apply into the LCM equation.

GCF(61890,61904) = 2
LCM(61890,61904) = ( 61890 × 61904) / 2
LCM(61890,61904) = 3831238560 / 2
LCM(61890,61904) = 1915619280

Least Common Multiple (LCM) of 61890 and 61904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61890 and 61904. First we will calculate the prime factors of 61890 and 61904.

Prime Factorization of 61890

Prime Factorization of 61904

Now multiplying the highest exponent prime factors to calculate the LCM of 61890 and 61904.

LCM(61890,61904) = 2⁴ × 3¹ × 5¹ × 2063¹ × 53¹ × 73¹
LCM(61890,61904) = 1915619280