What is the Least Common Multiple of 67509 and 67516?

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 67509 and 67516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67509 and 67516, than apply into the LCM equation.

GCF(67509,67516) = 1
LCM(67509,67516) = ( 67509 × 67516) / 1
LCM(67509,67516) = 4557937644 / 1
LCM(67509,67516) = 4557937644

Least Common Multiple (LCM) of 67509 and 67516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67509 and 67516. First we will calculate the prime factors of 67509 and 67516.

Prime Factorization of 67509

Prime Factorization of 67516

Now multiplying the highest exponent prime factors to calculate the LCM of 67509 and 67516.

LCM(67509,67516) = 3² × 13¹ × 577¹ × 2² × 16879¹
LCM(67509,67516) = 4557937644