What is the Least Common Multiple of 73714 and 73729?

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 73714 and 73729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73714 and 73729, than apply into the LCM equation.

GCF(73714,73729) = 1
LCM(73714,73729) = ( 73714 × 73729) / 1
LCM(73714,73729) = 5434859506 / 1
LCM(73714,73729) = 5434859506

Least Common Multiple (LCM) of 73714 and 73729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73714 and 73729. First we will calculate the prime factors of 73714 and 73729.

Prime Factorization of 73714

Prime Factorization of 73729

Now multiplying the highest exponent prime factors to calculate the LCM of 73714 and 73729.

LCM(73714,73729) = 2¹ × 36857¹ × 17¹ × 4337¹
LCM(73714,73729) = 5434859506