What is the Least Common Multiple of 32930 and 32945?

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 32930 and 32945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32930 and 32945, than apply into the LCM equation.

GCF(32930,32945) = 5
LCM(32930,32945) = ( 32930 × 32945) / 5
LCM(32930,32945) = 1084878850 / 5
LCM(32930,32945) = 216975770

Least Common Multiple (LCM) of 32930 and 32945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32930 and 32945. First we will calculate the prime factors of 32930 and 32945.

Prime Factorization of 32930

Prime Factorization of 32945

Now multiplying the highest exponent prime factors to calculate the LCM of 32930 and 32945.

LCM(32930,32945) = 2¹ × 5¹ × 37¹ × 89¹ × 11¹ × 599¹
LCM(32930,32945) = 216975770