What is the Least Common Multiple of 61774 and 61784?

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 61774 and 61784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61774 and 61784, than apply into the LCM equation.

GCF(61774,61784) = 2
LCM(61774,61784) = ( 61774 × 61784) / 2
LCM(61774,61784) = 3816644816 / 2
LCM(61774,61784) = 1908322408

Least Common Multiple (LCM) of 61774 and 61784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61774 and 61784. First we will calculate the prime factors of 61774 and 61784.

Prime Factorization of 61774

Prime Factorization of 61784

Now multiplying the highest exponent prime factors to calculate the LCM of 61774 and 61784.

LCM(61774,61784) = 2³ × 67¹ × 461¹ × 7723¹
LCM(61774,61784) = 1908322408