What is the Least Common Multiple of 65072 and 65077?

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 65072 and 65077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65072 and 65077, than apply into the LCM equation.

GCF(65072,65077) = 1
LCM(65072,65077) = ( 65072 × 65077) / 1
LCM(65072,65077) = 4234690544 / 1
LCM(65072,65077) = 4234690544

Least Common Multiple (LCM) of 65072 and 65077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65072 and 65077. First we will calculate the prime factors of 65072 and 65077.

Prime Factorization of 65072

Prime Factorization of 65077

Now multiplying the highest exponent prime factors to calculate the LCM of 65072 and 65077.

LCM(65072,65077) = 2⁴ × 7² × 83¹ × 59¹ × 1103¹
LCM(65072,65077) = 4234690544