What is the Least Common Multiple of 73872 and 73890?

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 73872 and 73890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73872 and 73890, than apply into the LCM equation.

GCF(73872,73890) = 18
LCM(73872,73890) = ( 73872 × 73890) / 18
LCM(73872,73890) = 5458402080 / 18
LCM(73872,73890) = 303244560

Least Common Multiple (LCM) of 73872 and 73890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73872 and 73890. First we will calculate the prime factors of 73872 and 73890.

Prime Factorization of 73872

Prime Factorization of 73890

Now multiplying the highest exponent prime factors to calculate the LCM of 73872 and 73890.

LCM(73872,73890) = 2⁴ × 3⁵ × 19¹ × 5¹ × 821¹
LCM(73872,73890) = 303244560