What is the Least Common Multiple of 64065 and 64074?

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 64065 and 64074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64065 and 64074, than apply into the LCM equation.

GCF(64065,64074) = 3
LCM(64065,64074) = ( 64065 × 64074) / 3
LCM(64065,64074) = 4104900810 / 3
LCM(64065,64074) = 1368300270

Least Common Multiple (LCM) of 64065 and 64074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64065 and 64074. First we will calculate the prime factors of 64065 and 64074.

Prime Factorization of 64065

Prime Factorization of 64074

Now multiplying the highest exponent prime factors to calculate the LCM of 64065 and 64074.

LCM(64065,64074) = 3¹ × 5¹ × 4271¹ × 2¹ × 59¹ × 181¹
LCM(64065,64074) = 1368300270