What is the Least Common Multiple of 61774 and 61778?

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 61778 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 61778, than apply into the LCM equation.

GCF(61774,61778) = 2
LCM(61774,61778) = ( 61774 × 61778) / 2
LCM(61774,61778) = 3816274172 / 2
LCM(61774,61778) = 1908137086

Least Common Multiple (LCM) of 61774 and 61778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61774 and 61778. First we will calculate the prime factors of 61774 and 61778.

Prime Factorization of 61774

Prime Factorization of 61778

Now multiplying the highest exponent prime factors to calculate the LCM of 61774 and 61778.

LCM(61774,61778) = 2¹ × 67¹ × 461¹ × 17¹ × 23¹ × 79¹
LCM(61774,61778) = 1908137086