What is the Least Common Multiple of 73125 and 73134?

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 73125 and 73134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73125 and 73134, than apply into the LCM equation.

GCF(73125,73134) = 9
LCM(73125,73134) = ( 73125 × 73134) / 9
LCM(73125,73134) = 5347923750 / 9
LCM(73125,73134) = 594213750

Least Common Multiple (LCM) of 73125 and 73134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73125 and 73134. First we will calculate the prime factors of 73125 and 73134.

Prime Factorization of 73125

Prime Factorization of 73134

Now multiplying the highest exponent prime factors to calculate the LCM of 73125 and 73134.

LCM(73125,73134) = 3² × 5⁴ × 13¹ × 2¹ × 17¹ × 239¹
LCM(73125,73134) = 594213750