What is the Least Common Multiple of 73698 and 73718?

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 73698 and 73718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73698 and 73718, than apply into the LCM equation.

GCF(73698,73718) = 2
LCM(73698,73718) = ( 73698 × 73718) / 2
LCM(73698,73718) = 5432869164 / 2
LCM(73698,73718) = 2716434582

Least Common Multiple (LCM) of 73698 and 73718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73698 and 73718. First we will calculate the prime factors of 73698 and 73718.

Prime Factorization of 73698

Prime Factorization of 73718

Now multiplying the highest exponent prime factors to calculate the LCM of 73698 and 73718.

LCM(73698,73718) = 2¹ × 3¹ × 71¹ × 173¹ × 29¹ × 31¹ × 41¹
LCM(73698,73718) = 2716434582