What is the Least Common Multiple of 73850 and 73864?

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 73850 and 73864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73850 and 73864, than apply into the LCM equation.

GCF(73850,73864) = 14
LCM(73850,73864) = ( 73850 × 73864) / 14
LCM(73850,73864) = 5454856400 / 14
LCM(73850,73864) = 389632600

Least Common Multiple (LCM) of 73850 and 73864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73850 and 73864. First we will calculate the prime factors of 73850 and 73864.

Prime Factorization of 73850

Prime Factorization of 73864

Now multiplying the highest exponent prime factors to calculate the LCM of 73850 and 73864.

LCM(73850,73864) = 2³ × 5² × 7¹ × 211¹ × 1319¹
LCM(73850,73864) = 389632600