What is the Least Common Multiple of 73134 and 73152?

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 73134 and 73152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73134 and 73152, than apply into the LCM equation.

GCF(73134,73152) = 18
LCM(73134,73152) = ( 73134 × 73152) / 18
LCM(73134,73152) = 5349898368 / 18
LCM(73134,73152) = 297216576

Least Common Multiple (LCM) of 73134 and 73152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73134 and 73152. First we will calculate the prime factors of 73134 and 73152.

Prime Factorization of 73134

Prime Factorization of 73152

Now multiplying the highest exponent prime factors to calculate the LCM of 73134 and 73152.

LCM(73134,73152) = 2⁶ × 3² × 17¹ × 239¹ × 127¹
LCM(73134,73152) = 297216576