What is the Least Common Multiple of 61708 and 61722?

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 61708 and 61722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61708 and 61722, than apply into the LCM equation.

GCF(61708,61722) = 2
LCM(61708,61722) = ( 61708 × 61722) / 2
LCM(61708,61722) = 3808741176 / 2
LCM(61708,61722) = 1904370588

Least Common Multiple (LCM) of 61708 and 61722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61708 and 61722. First we will calculate the prime factors of 61708 and 61722.

Prime Factorization of 61708

Prime Factorization of 61722

Now multiplying the highest exponent prime factors to calculate the LCM of 61708 and 61722.

LCM(61708,61722) = 2² × 15427¹ × 3⁵ × 127¹
LCM(61708,61722) = 1904370588