What is the Least Common Multiple of 73745 and 73759?

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 73745 and 73759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73745 and 73759, than apply into the LCM equation.

GCF(73745,73759) = 7
LCM(73745,73759) = ( 73745 × 73759) / 7
LCM(73745,73759) = 5439357455 / 7
LCM(73745,73759) = 777051065

Least Common Multiple (LCM) of 73745 and 73759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73745 and 73759. First we will calculate the prime factors of 73745 and 73759.

Prime Factorization of 73745

Prime Factorization of 73759

Now multiplying the highest exponent prime factors to calculate the LCM of 73745 and 73759.

LCM(73745,73759) = 5¹ × 7³ × 43¹ × 41¹ × 257¹
LCM(73745,73759) = 777051065