What is the Least Common Multiple of 73840 and 73860?

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 73840 and 73860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73840 and 73860, than apply into the LCM equation.

GCF(73840,73860) = 20
LCM(73840,73860) = ( 73840 × 73860) / 20
LCM(73840,73860) = 5453822400 / 20
LCM(73840,73860) = 272691120

Least Common Multiple (LCM) of 73840 and 73860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73840 and 73860. First we will calculate the prime factors of 73840 and 73860.

Prime Factorization of 73840

Prime Factorization of 73860

Now multiplying the highest exponent prime factors to calculate the LCM of 73840 and 73860.

LCM(73840,73860) = 2⁴ × 5¹ × 13¹ × 71¹ × 3¹ × 1231¹
LCM(73840,73860) = 272691120