What is the Least Common Multiple of 73744 and 73760?

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 73744 and 73760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73744 and 73760, than apply into the LCM equation.

GCF(73744,73760) = 16
LCM(73744,73760) = ( 73744 × 73760) / 16
LCM(73744,73760) = 5439357440 / 16
LCM(73744,73760) = 339959840

Least Common Multiple (LCM) of 73744 and 73760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73744 and 73760. First we will calculate the prime factors of 73744 and 73760.

Prime Factorization of 73744

Prime Factorization of 73760

Now multiplying the highest exponent prime factors to calculate the LCM of 73744 and 73760.

LCM(73744,73760) = 2⁵ × 11¹ × 419¹ × 5¹ × 461¹
LCM(73744,73760) = 339959840