What is the Least Common Multiple of 73925 and 73945?

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 73925 and 73945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73925 and 73945, than apply into the LCM equation.

GCF(73925,73945) = 5
LCM(73925,73945) = ( 73925 × 73945) / 5
LCM(73925,73945) = 5466384125 / 5
LCM(73925,73945) = 1093276825

Least Common Multiple (LCM) of 73925 and 73945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73925 and 73945. First we will calculate the prime factors of 73925 and 73945.

Prime Factorization of 73925

Prime Factorization of 73945

Now multiplying the highest exponent prime factors to calculate the LCM of 73925 and 73945.

LCM(73925,73945) = 5² × 2957¹ × 23¹ × 643¹
LCM(73925,73945) = 1093276825