What is the Least Common Multiple of 73684 and 73697?

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 73684 and 73697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73684 and 73697, than apply into the LCM equation.

GCF(73684,73697) = 13
LCM(73684,73697) = ( 73684 × 73697) / 13
LCM(73684,73697) = 5430289748 / 13
LCM(73684,73697) = 417714596

Least Common Multiple (LCM) of 73684 and 73697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73684 and 73697. First we will calculate the prime factors of 73684 and 73697.

Prime Factorization of 73684

Prime Factorization of 73697

Now multiplying the highest exponent prime factors to calculate the LCM of 73684 and 73697.

LCM(73684,73697) = 2² × 13² × 109¹ × 5669¹
LCM(73684,73697) = 417714596