What is the Least Common Multiple of 73760 and 73769?

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 73760 and 73769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73760 and 73769, than apply into the LCM equation.

GCF(73760,73769) = 1
LCM(73760,73769) = ( 73760 × 73769) / 1
LCM(73760,73769) = 5441201440 / 1
LCM(73760,73769) = 5441201440

Least Common Multiple (LCM) of 73760 and 73769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73760 and 73769. First we will calculate the prime factors of 73760 and 73769.

Prime Factorization of 73760

Prime Factorization of 73769

Now multiplying the highest exponent prime factors to calculate the LCM of 73760 and 73769.

LCM(73760,73769) = 2⁵ × 5¹ × 461¹ × 71¹ × 1039¹
LCM(73760,73769) = 5441201440