What is the Least Common Multiple of 47925 and 47945?

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 47925 and 47945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47925 and 47945, than apply into the LCM equation.

GCF(47925,47945) = 5
LCM(47925,47945) = ( 47925 × 47945) / 5
LCM(47925,47945) = 2297764125 / 5
LCM(47925,47945) = 459552825

Least Common Multiple (LCM) of 47925 and 47945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47925 and 47945. First we will calculate the prime factors of 47925 and 47945.

Prime Factorization of 47925

Prime Factorization of 47945

Now multiplying the highest exponent prime factors to calculate the LCM of 47925 and 47945.

LCM(47925,47945) = 3³ × 5² × 71¹ × 43¹ × 223¹
LCM(47925,47945) = 459552825