What is the Least Common Multiple of 73696 and 73714?

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 73696 and 73714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73696 and 73714, than apply into the LCM equation.

GCF(73696,73714) = 2
LCM(73696,73714) = ( 73696 × 73714) / 2
LCM(73696,73714) = 5432426944 / 2
LCM(73696,73714) = 2716213472

Least Common Multiple (LCM) of 73696 and 73714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73696 and 73714. First we will calculate the prime factors of 73696 and 73714.

Prime Factorization of 73696

Prime Factorization of 73714

Now multiplying the highest exponent prime factors to calculate the LCM of 73696 and 73714.

LCM(73696,73714) = 2⁵ × 7² × 47¹ × 36857¹
LCM(73696,73714) = 2716213472