What is the Least Common Multiple of 61710 and 61718?

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 61710 and 61718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61710 and 61718, than apply into the LCM equation.

GCF(61710,61718) = 2
LCM(61710,61718) = ( 61710 × 61718) / 2
LCM(61710,61718) = 3808617780 / 2
LCM(61710,61718) = 1904308890

Least Common Multiple (LCM) of 61710 and 61718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61710 and 61718. First we will calculate the prime factors of 61710 and 61718.

Prime Factorization of 61710

Prime Factorization of 61718

Now multiplying the highest exponent prime factors to calculate the LCM of 61710 and 61718.

LCM(61710,61718) = 2¹ × 3¹ × 5¹ × 11² × 17¹ × 30859¹
LCM(61710,61718) = 1904308890