What is the Least Common Multiple of 14925 and 14945?

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 14925 and 14945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14925 and 14945, than apply into the LCM equation.

GCF(14925,14945) = 5
LCM(14925,14945) = ( 14925 × 14945) / 5
LCM(14925,14945) = 223054125 / 5
LCM(14925,14945) = 44610825

Least Common Multiple (LCM) of 14925 and 14945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14925 and 14945. First we will calculate the prime factors of 14925 and 14945.

Prime Factorization of 14925

Prime Factorization of 14945

Now multiplying the highest exponent prime factors to calculate the LCM of 14925 and 14945.

LCM(14925,14945) = 3¹ × 5² × 199¹ × 7² × 61¹
LCM(14925,14945) = 44610825