What is the Least Common Multiple of 73692 and 73705?

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 73705 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 73705, than apply into the LCM equation.

GCF(73692,73705) = 1
LCM(73692,73705) = ( 73692 × 73705) / 1
LCM(73692,73705) = 5431468860 / 1
LCM(73692,73705) = 5431468860

Least Common Multiple (LCM) of 73692 and 73705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73692 and 73705. First we will calculate the prime factors of 73692 and 73705.

Prime Factorization of 73692

Prime Factorization of 73705

Now multiplying the highest exponent prime factors to calculate the LCM of 73692 and 73705.

LCM(73692,73705) = 2² × 3² × 23¹ × 89¹ × 5¹ × 14741¹
LCM(73692,73705) = 5431468860