What is the Least Common Multiple of 97035 and 97040?

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 97035 and 97040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97035 and 97040, than apply into the LCM equation.

GCF(97035,97040) = 5
LCM(97035,97040) = ( 97035 × 97040) / 5
LCM(97035,97040) = 9416276400 / 5
LCM(97035,97040) = 1883255280

Least Common Multiple (LCM) of 97035 and 97040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97035 and 97040. First we will calculate the prime factors of 97035 and 97040.

Prime Factorization of 97035

Prime Factorization of 97040

Now multiplying the highest exponent prime factors to calculate the LCM of 97035 and 97040.

LCM(97035,97040) = 3¹ × 5¹ × 6469¹ × 2⁴ × 1213¹
LCM(97035,97040) = 1883255280