What is the Least Common Multiple of 73860 and 73875?

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 73860 and 73875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73860 and 73875, than apply into the LCM equation.

GCF(73860,73875) = 15
LCM(73860,73875) = ( 73860 × 73875) / 15
LCM(73860,73875) = 5456407500 / 15
LCM(73860,73875) = 363760500

Least Common Multiple (LCM) of 73860 and 73875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73860 and 73875. First we will calculate the prime factors of 73860 and 73875.

Prime Factorization of 73860

Prime Factorization of 73875

Now multiplying the highest exponent prime factors to calculate the LCM of 73860 and 73875.

LCM(73860,73875) = 2² × 3¹ × 5³ × 1231¹ × 197¹
LCM(73860,73875) = 363760500