What is the Least Common Multiple of 61774 and 61785?

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 61785 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 61785, than apply into the LCM equation.

GCF(61774,61785) = 1
LCM(61774,61785) = ( 61774 × 61785) / 1
LCM(61774,61785) = 3816706590 / 1
LCM(61774,61785) = 3816706590

Least Common Multiple (LCM) of 61774 and 61785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61774 and 61785. First we will calculate the prime factors of 61774 and 61785.

Prime Factorization of 61774

Prime Factorization of 61785

Now multiplying the highest exponent prime factors to calculate the LCM of 61774 and 61785.

LCM(61774,61785) = 2¹ × 67¹ × 461¹ × 3² × 5¹ × 1373¹
LCM(61774,61785) = 3816706590