What is the Least Common Multiple of 67504 and 67509?

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 67504 and 67509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67504 and 67509, than apply into the LCM equation.

GCF(67504,67509) = 1
LCM(67504,67509) = ( 67504 × 67509) / 1
LCM(67504,67509) = 4557127536 / 1
LCM(67504,67509) = 4557127536

Least Common Multiple (LCM) of 67504 and 67509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67504 and 67509. First we will calculate the prime factors of 67504 and 67509.

Prime Factorization of 67504

Prime Factorization of 67509

Now multiplying the highest exponent prime factors to calculate the LCM of 67504 and 67509.

LCM(67504,67509) = 2⁴ × 4219¹ × 3² × 13¹ × 577¹
LCM(67504,67509) = 4557127536