What is the Least Common Multiple of 61784 and 61798?

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 61784 and 61798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61784 and 61798, than apply into the LCM equation.

GCF(61784,61798) = 2
LCM(61784,61798) = ( 61784 × 61798) / 2
LCM(61784,61798) = 3818127632 / 2
LCM(61784,61798) = 1909063816

Least Common Multiple (LCM) of 61784 and 61798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61784 and 61798. First we will calculate the prime factors of 61784 and 61798.

Prime Factorization of 61784

Prime Factorization of 61798

Now multiplying the highest exponent prime factors to calculate the LCM of 61784 and 61798.

LCM(61784,61798) = 2³ × 7723¹ × 11¹ × 53²
LCM(61784,61798) = 1909063816