What is the Least Common Multiple of 73692 and 73706?

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 73692 and 73706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73692 and 73706, than apply into the LCM equation.

GCF(73692,73706) = 2
LCM(73692,73706) = ( 73692 × 73706) / 2
LCM(73692,73706) = 5431542552 / 2
LCM(73692,73706) = 2715771276

Least Common Multiple (LCM) of 73692 and 73706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73692 and 73706. First we will calculate the prime factors of 73692 and 73706.

Prime Factorization of 73692

Prime Factorization of 73706

Now multiplying the highest exponent prime factors to calculate the LCM of 73692 and 73706.

LCM(73692,73706) = 2² × 3² × 23¹ × 89¹ × 137¹ × 269¹
LCM(73692,73706) = 2715771276