What is the Least Common Multiple of 74925 and 74940?

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 74925 and 74940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74925 and 74940, than apply into the LCM equation.

GCF(74925,74940) = 15
LCM(74925,74940) = ( 74925 × 74940) / 15
LCM(74925,74940) = 5614879500 / 15
LCM(74925,74940) = 374325300

Least Common Multiple (LCM) of 74925 and 74940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74925 and 74940. First we will calculate the prime factors of 74925 and 74940.

Prime Factorization of 74925

Prime Factorization of 74940

Now multiplying the highest exponent prime factors to calculate the LCM of 74925 and 74940.

LCM(74925,74940) = 3⁴ × 5² × 37¹ × 2² × 1249¹
LCM(74925,74940) = 374325300