What is the Least Common Multiple of 73750 and 73770?

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 73750 and 73770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73750 and 73770, than apply into the LCM equation.

GCF(73750,73770) = 10
LCM(73750,73770) = ( 73750 × 73770) / 10
LCM(73750,73770) = 5440537500 / 10
LCM(73750,73770) = 544053750

Least Common Multiple (LCM) of 73750 and 73770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73750 and 73770. First we will calculate the prime factors of 73750 and 73770.

Prime Factorization of 73750

Prime Factorization of 73770

Now multiplying the highest exponent prime factors to calculate the LCM of 73750 and 73770.

LCM(73750,73770) = 2¹ × 5⁴ × 59¹ × 3¹ × 2459¹
LCM(73750,73770) = 544053750