What is the Least Common Multiple of 59925 and 59945?

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 59925 and 59945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59925 and 59945, than apply into the LCM equation.

GCF(59925,59945) = 5
LCM(59925,59945) = ( 59925 × 59945) / 5
LCM(59925,59945) = 3592204125 / 5
LCM(59925,59945) = 718440825

Least Common Multiple (LCM) of 59925 and 59945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59925 and 59945. First we will calculate the prime factors of 59925 and 59945.

Prime Factorization of 59925

Prime Factorization of 59945

Now multiplying the highest exponent prime factors to calculate the LCM of 59925 and 59945.

LCM(59925,59945) = 3¹ × 5² × 17¹ × 47¹ × 19¹ × 631¹
LCM(59925,59945) = 718440825